Inequality

Problem 801

Translate "A number $y$ increased by 3 is less than 21" into an inequality.

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Problem 802

Translate into an inequality: $c/4 \geq 28$ .

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Problem 803

Translate to an inequality: $w - 4 \leq -22$ .

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Problem 804

How many isosceles triangles with whole-number sides have a perimeter of 18? (Hint: 5,5,8 is the smallest.) a. 1 b. 2 c. 3 d. 4

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Problem 805

Determine if a triangle with sides 6, 8, and 7 is a right triangle. Choose: A) Yes, B) Yes, C) No, D) No.

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Problem 806

Solve for $x$ : When is the cost of the trampoline park, $150 + 20x$ , equal to the skating rink, $175 + 15x$ ?

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Problem 807

Write an inequality to find how many pages Alicia needs to read to have more completed than Daria, given their reading rates.

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Problem 808

A triangle has a base shorter than its height. Which inequality represents this? A. $3 x-7>2 x+10$ B. $3 x-7 \leq 2 x+10$ C. $2 x+10<3 x-7$

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Problem 809

Which situation fits the inequality $4b + 3 \leq 6b$ ? A. Four binders and a \$3 pack of markers cost less than six binders. B. Six binders cost more than four binders and a \$3 pack of markers. C. Four binders and a \$3 pack of markers cost the same as six binders. D. Four binders and a \$3 pack of markers cost more than six binders.

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Problem 810

Solve the inequality: $\frac{3}{4} x+\frac{1}{2} \leq \frac{5}{4}$ .

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Problem 811

Kaya works 15 hours weekly, babysits for \$10/hr, and tutors for \$12/hr. Create and solve an inequality for earnings ≥ \$160. What does the solution indicate? If she wants to earn > \$160, how does that change?

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Problem 812

Callie's pillow company has monthly costs of \$3200 and makes pillows for \$50 each, selling them for \$18.
A. Write and solve an inequality for the number of pillows $p$ sold to ensure profit. B. Discuss which solutions are valid in this context.

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Problem 813

Find the length of $AC$ in triangle ABC if $BC=3$ and $AB=7$ . Possible answers: A) 15 B) 13 C) 10 D) 12

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Problem 814

Find the largest integer $p$ such that $2p + 4 \leq 35$ . A. 5 B. 6 C. 15 D. 16 E. 30

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Problem 815

Tony rounded 154 and 145 to the nearest hundred. Which comparison is correct: $150=150$ , $200>100$ , $154>145$ , or $200=200$ ?

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Problem 816

Write the inequality $x \geq 5$ in interval notation.

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Problem 817

Lydia works 4 hours tutoring at \$20/hour. How many hours can she walk dogs at \$7/hour to earn at least \$190 in 16 hours?

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Problem 818

Solve the inequality: $2(2x - 6) \geq x + 3$ .

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Problem 819

Solve the inequality: $3(x-3)-5x-2>-3x-6$ .

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Problem 820

$4 x+3 y \geq 12$ (solve for $y$ )

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Problem 821

PVALUATD esson 3 Checkpoint Independent Practice Learning Goal I can graph solutions to linear inequalities on a Lesson Reflection (circle one) coordinate plane. Starting... Getting There... Got it!
Complete the previous problems, check your solutions, then complete the Lesson Checkpoint below. Complete the Lesson Reflection above by circling your current understanding of the Learning Goal(s).
Graph the inequality.
1. $y<6+\frac{3}{5} x$
2. $y \geq-\frac{5}{4} x-9$ lifelong Algebra 1A (2024) Module 3

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Problem 822

14. The manufacturer of a propeller for a small aircraft mandates a maximum operating angular velocity of $300 \mathrm{rad} / \mathrm{s}$ . Determine whether it is safe to install this propeller on an aircraft whose engine is expected to run at a maximum of 2800 rpm .

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Problem 823

Which ordered pair is a solution to the inequality $8 y+3 x>-4$ ? $(4,-2)$ $(-3,1)$ $(-2,-1)$ $(-4,1)$

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Problem 824

18. Tyler and Kym are competing in a model airplane competition. The positions of the planes are determined in relation to the top of a 10 -metre pole: planes to the left and below the top of the pole are given negative $x$ - and $y$ -values and planes to the right and above the top of the pole are given positive $x$ - and $y$ -values. The path of Tyler's plane is modeled by $f(x)=4 x^{3}-6 x^{2}-22 x+8$ The path of Kym's plane is modeled by $g(x)=3 x^{3}-3 x^{2}-9 x-7$ a) Set up an inequality to determine when Tyler's plane is higher that Kym's plane. (1 mark) $f(x)>g(x)=4 x^{3}-6 x^{2}-22 x+8>3 x^{3}-3 x^{2}-9 x-7$ b) What equation would have to be entered into the graphing calculator to solve the inequality in part a? ( 1 mark) $\begin{array}{c} \left(4 x^{3}-6 x^{2}-22 x+8\right)-\left(3 x^{3}-3 x^{2}-9 x-7\right)>0 \\ 4 x^{3}-6 x^{2}-2 x+8-3 x^{2}+3 x^{2}+9 x+7>0 \\ x^{3}-3 x^{2}-13 x+15>0 \end{array}$ c) Write the inequality in factored form and solve by graphing to determine when is Tyler's plane higher than Kym's?. (5 marks) factored pomm: $x^{3}-3 x^{2}-13 x+15=0$ .

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Problem 825

Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. $(x-2)(x+4) \leq 0$

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Problem 826

Solve the inequality. $\begin{array}{l} \frac{x}{4} \leq x+3 \\ x \geq[?] \end{array}$

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Problem 827

Solve and graph the following inequality $a+6 \leq-15$
Select the correct choice below and fill in the answer box to complete your choice. A. The solution is $\{\mathrm{a} \mid \mathrm{a} \leq$ $\square$ \} B. The solution is $\{a|a\rangle$ $\square$ C. The solution is $\{a \mid a \geq$ $\square$ D. The solution is $\{\mathrm{a} \mid \mathrm{a}<$ $\square$ \}
Which of the following is the graph of the solution? A. B. c. D.

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Problem 828

Question
Solve the following inequality for $r$ . Write your answer in simplest form. $9 r-4(-5 r-5) \leq-9 r+10+5$
Answer Attempt 1 out of 3 $r$ $\square$ Submit Answer

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Problem 829

Solve the inequality and graph the solution on the line provided. $-53+6 x>-71$
Answer Attempt 1 out of 3 $\square$ $\square$ $\square$ $\square$ $\square$ or
Inequality Notation: $\square$ Number Line: Submit Answer

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Problem 830

Question 5
Which ordered pairs are solutions to the inequality $-2 x+3 y \geq 3$ ? Choose all that ap $(-1,-2)$ $(4,1)$ $(2,3)$ $(-1,2)$ $(0,1)$ $(2,-3)$ $(0,-1)$

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Problem 831

Determine whether the given numbers are solutions of the inequality. $8,-20,-13$ , $-3$ $y-9>2 y-2$
Is 8 a solution? Yes No
Is -20 a solution? No Yes
Is - 13 a solution? No Yes
Is -3 a solution? No Yes

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Problem 832

Solve the inequality. (Enter your answer using interval notation.) $x^{2} e^{x}-7 e^{x}<0$

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Problem 833

Solve using the addition and multiplication principles. $6-4 x \leq 1-3 x$
Select the correct choice below and fill in the answer box within your choice. (Simplify your answer.) A. The solution set is $\{x|x\rangle$ $\square$ \}. B. The solution set is $\{x \mid x<$ $\square$ \}. C. The solution set is $\{x \mid x \leq$ $\square$ \}. D. The solution set is $\{x \mid x \geq$ $\square$ \}.

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Problem 834

$2.5(4 x-2)>10$ True False

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Problem 835

Solve the rational inequality. $\frac{3 x-20}{x^{2}-9} \geq 0$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ $\square$ . (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) B. There are no real solutions.

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Problem 836

$3(2 x-4)+1>2(2 y-3)-8$

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Problem 837

Find all values that make the inequality $\frac{-x}{x-6} \leq \frac{1}{x-2}$ true. a) $x \leq-2,2<x \leq 3, x>6$ b) $-2 \leq x<2,3 \leq x<6$ C) $x \leq-2,2<x \leq 3, x \geq 6$ d) $x<-2,2 \leq x \leq 3, x>6$

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Problem 838

Question 1 0/1 pt 2 4
You measure 35 randomly selected textbooks' weights, and find they have a mean weight of 73 ounces. Assume the population standard deviation is 13.1 ounces. Based on this, construct a $90 \%$ confidence $90 \%$ interval for the true population mean textbook weight.
Give your answers as decimals, to two places $S=35$ < $\mu<$ $\qquad$

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Problem 839

Solve the following inequality. $(x+2)(x-4)(x+6) \leq 0$
Write your answer ás an interval or union of intervals. If there is no real solution, click on "No solution".

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Problem 840

3) Chris wants to order DVD's over the internet. Each DVD costs $\$ 15.99$ and shipping the entire order costs \ $9.99. If he can spend no more than$ \ $100$ , how many DVD's could he buy?

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Problem 841

12 more practice 5) Pet Supplies makes a profit of $\$ 5.50$ per bag on its line of natural dog fe 5 sions to $n$ profit of no less than $\$ 5225$ , how many bags of dog food does it need to sell?

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Problem 842

7) Tom is deciding whether or not he should become a member gym to use their basketball courts. The membership cost is $\$ 135$ . Members pay $\$ 2$ to rent out the basketball courts. Non-members can rent the court also, but they have to pay $\$ 11$ each time. how many times would Tom need to rent the court in ord for it be cheaper to be a member than a non member?

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Problem 843

Find the intervals where $f(x) \geq 0$ for $f(x)=x-2$ . Use interval notation; enter EMPTY or $\varnothing$ for none.

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Problem 844

Which statement is true for triangles $A B C$ and $D E F$ with $A B=9, B C=15, D E=6, E F=10$ , and $\angle B \cong \angle E$ ? a. $\angle C A B \cong \angle D E F$ b. $\frac{A B}{C B}=\frac{F E}{D E}$ c. $\triangle A B C \cong \triangle D E F$ d. $\frac{A B}{D E}=\frac{F E}{C B}$

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Problem 845

Solve the inequality: $-5(x-6) \leq 3(x+2)$ .

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Problem 846

Express the interval $[-17,17]$ as an absolute value inequality for variable $x$ .

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Problem 847

Find the set $S=\{x:|x^{2}-6|>7\}$ as a union of intervals.

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Problem 848

Solve the inequality $\frac{x-5}{4}+\frac{3-2 x}{3}<-2$ .

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Problem 849

Solve the inequality $0 \leq 2z + 5 < 8$ .

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Problem 850

Solve the inequality: $\frac{1}{2}(x-4)-2 x \leq 5(3-x)$ .

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Problem 851

Solve the inequality: $\frac{2 y-3}{2}+\frac{3 y-1}{5}<y-1$

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Problem 852

Graph the solution set for the inequality $-2(x+6)>-4x$ on a number line.

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Problem 853

Which inequality matches $-4(x+7)<3(x-2)$ ? A. $-7 x<22$ B. $-7 x<-34$ C. $-7 x>22$ D. $-7 x>-34$

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Problem 854

Patty earns \ $18/hour and \$2.50/survey. To earn at least \$750 in 38 hours, which inequality for surveys$ s $is correct? A.$ 18(38)+2.5 s \geq 750 $B.$ 18(s+2.5)>750 $C.$ 20.5 s>750 $D.$ 18(2.5 s+38) \geq 750$

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Problem 855

Solve the inequality $2 > \frac{1}{8} m$ for the variable 'm'.

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Problem 856

Solve the inequality $|2x-5|-3<-7$ and identify the solution set: $-5<x<-1$ , $x<-5$ or $x>-1$ , $\varnothing$ , or $R$ .

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Problem 857

Solve the inequality $-3|x+2|<-9$ .

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Problem 858

Encuentra el valor mínimo de $x$ en la inecuación: $(x-1)^{2}+(x-2)^{2} \leq x^{2}+x-1$ . Opciones: a. -1, b. 0, c. 1, d. 2.

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Problem 859

Find the range for the third side of a triangle with sides $6 \mathrm{ft}$ and $19 \mathrm{ft}$ .

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Problem 860

Determine the possible range for the third side of a triangle with sides $7 \mathrm{~km}$ and $29 \mathrm{~km}$ .

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Problem 861

Find the range for the third side of a triangle with sides 13 in. and 27 in.: $14 < n < 40$ .

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Problem 862

What is the minimum distance between Boston and Hartford if NYC, Boston, and Hartford form a triangle? $d > 187 - 97$

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Problem 863

Find the range of possible values for $x$ if $x$ , 4, and 6 are the sides of a triangle.

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Problem 864

Analiza la inecuación: $(x+2)^{2}+(x+3)^{2} \geqslant 2 x^{2}+63$ . ¿Cuál es su conjunto solución?

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Problem 865

Resuelve la inecuación: $(x+2)^{2}+(x+3)^{2} \geqslant 2 x^{2}+63$ . ¿Cuál es el conjunto solución?

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Problem 866

Encuentra el menor valor de $x$ en la inecuación: $(x-1)^{2}+(x-2)^{2} \leqslant x^{2}+x-1$ . Opciones: a. -2 b. -1 c. 0 d. 1 e. 2

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Problem 867

Resuelve la inecuación: $(x+2)^{2}+(x+3)^{2} \geqslant 2 x^{2}+63$ . ¿Cuál es el conjunto solución?

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Problem 868

Resuelve la inecuación $\frac{1}{x}-\frac{1}{x-1}<0$ y encuentra el intervalo solución.

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Problem 869

Write the inequality $3 \leq x$ in interval notation.

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Problem 870

Solve the inequality $\frac{x}{5} \leq 2$ for $x$ .

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Problem 871

Solve $-2 \geq x - 5$ for the variable $x$ .

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Problem 872

Insert $<$ or $>$ in the shaded areas: a) 9 _ 14, b) -9 _ -14.

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Problem 873

Insert $<$ or $>$ between the numbers to make this true: $\frac{5}{8} \square \frac{3}{7}$ .

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Problem 874

Insert $<$ or $>$ in the blank to make the statement true: -0.031 \_ -0.046.

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Problem 875

Insert $<$ or $>$ between the numbers to make the statement true: $\frac{8}{11} \square \frac{3}{7}$ .

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Problem 876

Insert $<$ or $>$ in the blank: $0.007 \square 0.07$ .

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Problem 877

Insert either $<$ or $>$ to make the statement true: $0.02 - 0.002 \, \nabla \, 0.002$ .

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Problem 878

Is $\frac{4}{13}$ greater than, less than, or equal to 0.31? Replace ? with the correct symbol: $>,<,=$ .

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Problem 879

Insert $<$ or $>$ to make the statement true: -(-5) \square -(-7)

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Problem 880

Insert $<,>$ , or $=$ to complete: $4 \_\|-5\|$ and $4 \square \|-5\|$ .

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Problem 881

Determine if 0.07 is less than or greater than 0.7: use $<$ or $>$ .

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Problem 882

Determine the correct symbol ( $>,<,=$ ) for the inequality: $\frac{7}{13} ? 0.54$ .

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Problem 883

Insert $<,>$ , or $=$ to make the statement true: $9 - |-5| \square |-5|$

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Problem 884

Insert $<_{,} z_{,}$ or $=$ in the blank to make a true statement: $\frac{3}{4} \square|-3|$

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Problem 885

Insert $<$ or $>$ between the numbers to make the statement true: $\frac{7}{11} \square \frac{7}{8}$ .

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Problem 886

Insert $<$ or $>$ between $\frac{7}{8}$ and $\frac{7}{9}$ to make the statement true: $\frac{7}{8} \square \frac{7}{9}$ .

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Problem 887

Insert $<$ or $>$ in the blank to make a true statement: $0.4 \square 0.6$ .

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Problem 888

Insert $<$ or $>$ in the shaded areas: a) 6 _ 15, b) -6 _ -15.

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Problem 889

Insert $<$ or $>$ to make this true: -0.023 ___ -0.008.

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Problem 890

Lauren sells tacos ( $3.25$ each) and burritos ( $7.75$ each). If she sells 72 burritos, find possible taco sales to reach \$710.

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Problem 891

Kadeem has \$9 and buys 7 cookies at \$0.50. How many donuts can he buy if he needs at least 10 total treats?

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Problem 892

Solve: $|4 v+1|<5$
Write your answers exactly (no decimals) in interval notation Question Help: Post to forum

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Problem 893

6 Résous ces inéquations. a) $8 x+4<36$ b) $5 x-7>2 x+6$ isx $14<36$ irouver la fater dun $x$ $\begin{array}{c} 5 x-7<2 x+6 \\ -2 x-2 x>6 \\ 3 x-7>7 \\ 3 x>\frac{13}{3} \\ x>4,33 \end{array}$ c) $\frac{8 b+4}{3} \leq-20$ d) $-0,5 v+2,5>3 v-4(v+1,25)$ $80+4<-60$ -4 $\begin{array}{c} -0,5 v+2,373 v-4 v-5 \\ -0,5 v+2,5>-v-5 \\ -2,5 \end{array}$ $18 b /-64$ $1.8 \div 8$ $\begin{array}{l} \frac{0,5 v}{6,5}>-\frac{7,5}{0,5} \\ V>-15 \end{array}$ e) $\frac{3 b}{4}-\frac{1}{2}<\frac{b}{4}+\frac{2}{5}$ f) $\frac{-35 b+5}{2} \leq \frac{42 b+4}{5}$
530

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Problem 894

6 Résous ces inéquations. a) $8 x+4<36$ b) $5 x-7>2 x+6$ isx $14<36$ irouver la fater dun $x$ $\begin{array}{c} 5 x-7<2 x+6 \\ -2 x-2 x>6 \\ 3 x-7>7 \\ 3 x>\frac{13}{3} \\ x>4,33 \end{array}$ c) $\frac{8 b+4}{3} \leq-20$ d) $-0,5 v+2,5>3 v-4(v+1,25)$ $80+4<-60$ -4 $\begin{array}{c} -0,5 v+2,373 v-4 v-5 \\ -0,5 v+2,5>-v-5 \\ -2,5 \end{array}$ $18 b /-64$ $1.8 \div 8$ $\begin{array}{l} \frac{0,5 v}{6,5}>-\frac{7,5}{0,5} \\ V>-15 \end{array}$ e) $\frac{3 b}{4}-\frac{1}{2}<\frac{b}{4}+\frac{2}{5}$ f) $\frac{-35 b+5}{2} \leq \frac{42 b+4}{5}$
530

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Problem 895

Directions: First, determine if the three side lengths could form a triangle. (Recall from earlier, the sum of the two smaller sides must be greater than the third side). If yes, classify the triangle further as acute, right, or obtuse.
3, 7, 9 $\square$ $+$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ 2 $\square$ ${ }^{2}+$ $\square$ 2 $\square$ $\square$ $\square$ $\square$ Not a triangle $\square$ Acute - Right - Obtuse $\square$ Next

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Problem 896

Mary's restaurant has 5 full-time cooks each getting $\$ 140$ on Friday night and work from 5:00 to 11:00 PM You also have some part-time cooks that can start any time from 6:00 and work for 3 hours for $\$ 50$ a night. You use the character $F$ for fulltime cooks and $P$ for the different cooks starting in 1 hour intervals. You need to have at least 3 cooks from 5:00 to 6:00, 6 from 6:00 to 7:00, 8 from 7:00 to 8:00, 8 from 8:00 to 9:00, 4 from 9:00 to 10:00, and 5 from 10:00 to 11:00. You also do not want more than 9 part-time employees.
What is the constraints equation for number of employee from 8:00 to 9:00 PM?
$F+P 1+P 2+P 3 \geq 8$ $F+P 1+P 2 \leq 8$ $F+D 1+D 2+D 2>R$

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Problem 897

Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any resulting triangle(s). $a=9, b=6, A=80^{\circ}$

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Problem 898

Consider the equation $f(x)=x^{2}+m x+4$ . If the equation has two unequal roots, then determine the range of values of $m$ .

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Problem 899

Solve the following inequality. $3<\frac{9-3 t}{5}<6$

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Problem 900

4. Use the graph of the combined function $y=2^{x}-x^{2}$ to determine an approximate solution to the inequality $2^{x}>x^{2}, \checkmark \checkmark$ $x=-0.8 \quad x=2$

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1 ...6 7 8 9 10 11 12 ...20

Inequality

Problem 801

Translate "A number yyy increased by 3 is less than 21" into an inequality.

Problem 802

Translate into an inequality: c/4≥28c/4 \geq 28c/4≥28.

Problem 803

Translate to an inequality: w−4≤−22w - 4 \leq -22w−4≤−22.

Problem 804

How many isosceles triangles with whole-number sides have a perimeter of 18? (Hint: 5,5,8 is the smallest.) a. 1 b. 2 c. 3 d. 4

Problem 805

Determine if a triangle with sides 6, 8, and 7 is a right triangle. Choose: A) Yes, B) Yes, C) No, D) No.

Problem 806

Solve for xxx: When is the cost of the trampoline park, 150+20x150 + 20x150+20x, equal to the skating rink, 175+15x175 + 15x175+15x?

Problem 807

Write an inequality to find how many pages Alicia needs to read to have more completed than Daria, given their reading rates.

Problem 808

A triangle has a base shorter than its height. Which inequality represents this? A. 3x−7>2x+103 x-7>2 x+103x−7>2x+10 B. 3x−7≤2x+103 x-7 \leq 2 x+103x−7≤2x+10 C. 2x+10<3x−72 x+10<3 x-72x+10<3x−7

Problem 809

Problem 810

Solve the inequality: 34x+12≤54\frac{3}{4} x+\frac{1}{2} \leq \frac{5}{4}43​x+21​≤45​.

Problem 811

Kaya works 15 hours weekly, babysits for \$10/hr, and tutors for \$12/hr. Create and solve an inequality for earnings ≥ \$160. What does the solution indicate? If she wants to earn > \$160, how does that change?

Problem 812

Callie's pillow company has monthly costs of \$3200 and makes pillows for \$50 each, selling them for \$18. A. Write and solve an inequality for the number of pillows ppp sold to ensure profit. B. Discuss which solutions are valid in this context.

Problem 813

Find the length of ACACAC in triangle ABC if BC=3BC=3BC=3 and AB=7AB=7AB=7. Possible answers: A) 15 B) 13 C) 10 D) 12

Problem 814

Find the largest integer ppp such that 2p+4≤352p + 4 \leq 352p+4≤35. A. 5 B. 6 C. 15 D. 16 E. 30

Problem 815

Tony rounded 154 and 145 to the nearest hundred. Which comparison is correct: 150=150150=150150=150, 200>100200>100200>100, 154>145154>145154>145, or 200=200200=200200=200?

Problem 816

Write the inequality x≥5x \geq 5x≥5 in interval notation.

Problem 817

Lydia works 4 hours tutoring at \$20/hour. How many hours can she walk dogs at \$7/hour to earn at least \$190 in 16 hours?

Problem 818

Solve the inequality: 2(2x−6)≥x+32(2x - 6) \geq x + 32(2x−6)≥x+3.

Problem 819

Solve the inequality: 3(x−3)−5x−2>−3x−63(x-3)-5x-2>-3x-63(x−3)−5x−2>−3x−6.

Problem 820

4x+3y≥124 x+3 y \geq 124x+3y≥12 (solve for yyy )

Problem 821

Problem 822

14. The manufacturer of a propeller for a small aircraft mandates a maximum operating angular velocity of 300rad/s300 \mathrm{rad} / \mathrm{s}300rad/s. Determine whether it is safe to install this propeller on an aircraft whose engine is expected to run at a maximum of 2800 rpm .

Problem 823

Which ordered pair is a solution to the inequality 8y+3x>−48 y+3 x>-48y+3x>−4 ? (4,−2)(4,-2)(4,−2) (−3,1)(-3,1)(−3,1) (−2,−1)(-2,-1)(−2,−1) (−4,1)(-4,1)(−4,1)

Problem 824

Problem 825

Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. (x−2)(x+4)≤0(x-2)(x+4) \leq 0(x−2)(x+4)≤0

Problem 826

Solve the inequality. x4≤x+3x≥[?]\begin{array}{l} \frac{x}{4} \leq x+3 \\ x \geq[?] \end{array}4x​≤x+3x≥[?]​

Problem 827

Problem 828

QuestionSolve the following inequality for rrr. Write your answer in simplest form. 9r−4(−5r−5)≤−9r+10+59 r-4(-5 r-5) \leq-9 r+10+59r−4(−5r−5)≤−9r+10+5Answer Attempt 1 out of 3 rrr □\square□ Submit Answer

Problem 829

Solve the inequality and graph the solution on the line provided. −53+6x>−71-53+6 x>-71−53+6x>−71Answer Attempt 1 out of 3 □\square□ □\square□ □\square□ □\square□ □\square□ orInequality Notation: □\square□ Number Line: Submit Answer

Problem 830

Question 5Which ordered pairs are solutions to the inequality −2x+3y≥3-2 x+3 y \geq 3−2x+3y≥3 ? Choose all that ap (−1,−2)(-1,-2)(−1,−2) (4,1)(4,1)(4,1) (2,3)(2,3)(2,3) (−1,2)(-1,2)(−1,2) (0,1)(0,1)(0,1) (2,−3)(2,-3)(2,−3) (0,−1)(0,-1)(0,−1)

Problem 831

Determine whether the given numbers are solutions of the inequality. 8,−20,−138,-20,-138,−20,−13, −3-3−3 y−9>2y−2y-9>2 y-2y−9>2y−2Is 8 a solution? Yes NoIs -20 a solution? No YesIs - 13 a solution? No YesIs -3 a solution? No Yes

Problem 832

Solve the inequality. (Enter your answer using interval notation.) x2ex−7ex<0x^{2} e^{x}-7 e^{x}<0x2ex−7ex<0

Problem 833

Problem 834

2.5(4x−2)>102.5(4 x-2)>102.5(4x−2)>10 True False

Problem 835

Problem 836

3(2x−4)+1>2(2y−3)−83(2 x-4)+1>2(2 y-3)-83(2x−4)+1>2(2y−3)−8

Problem 837

Problem 838

Problem 839

Solve the following inequality. (x+2)(x−4)(x+6)≤0(x+2)(x-4)(x+6) \leq 0(x+2)(x−4)(x+6)≤0Write your answer ás an interval or union of intervals. If there is no real solution, click on "No solution".

Problem 840

3) Chris wants to order DVD's over the internet. Each DVD costs $15.99\$ 15.99$15.99 and shipping the entire order costs \9.99.Ifhecanspendnomorethan9.99. If he can spend no more than 9.99.Ifhecanspendnomorethan\100 100100, how many DVD's could he buy?

Problem 841

12 more practice 5) Pet Supplies makes a profit of $5.50\$ 5.50$5.50 per bag on its line of natural dog fe 5 sions to nnn profit of no less than $5225\$ 5225$5225, how many bags of dog food does it need to sell?

Problem 842

Problem 843

Find the intervals where f(x)≥0f(x) \geq 0f(x)≥0 for f(x)=x−2f(x)=x-2f(x)=x−2. Use interval notation; enter EMPTY or ∅\varnothing∅ for none.

Problem 844

Problem 845

Translate "A number $y$ increased by 3 is less than 21" into an inequality.

Translate into an inequality: $c/4 \geq 28$ .

Translate to an inequality: $w - 4 \leq -22$ .

Solve for $x$ : When is the cost of the trampoline park, $150 + 20x$ , equal to the skating rink, $175 + 15x$ ?

A triangle has a base shorter than its height. Which inequality represents this? A. $3 x-7>2 x+10$ B. $3 x-7 \leq 2 x+10$ C. $2 x+10<3 x-7$

Solve the inequality: $\frac{3}{4} x+\frac{1}{2} \leq \frac{5}{4}$ .

Callie's pillow company has monthly costs of \$3200 and makes pillows for \$50 each, selling them for \$18.
A. Write and solve an inequality for the number of pillows $p$ sold to ensure profit. B. Discuss which solutions are valid in this context.

Find the length of $AC$ in triangle ABC if $BC=3$ and $AB=7$ . Possible answers: A) 15 B) 13 C) 10 D) 12

Find the largest integer $p$ such that $2p + 4 \leq 35$ . A. 5 B. 6 C. 15 D. 16 E. 30

Tony rounded 154 and 145 to the nearest hundred. Which comparison is correct: $150=150$ , $200>100$ , $154>145$ , or $200=200$ ?

Write the inequality $x \geq 5$ in interval notation.

Solve the inequality: $2(2x - 6) \geq x + 3$ .

Solve the inequality: $3(x-3)-5x-2>-3x-6$ .

$4 x+3 y \geq 12$ (solve for $y$ )

14. The manufacturer of a propeller for a small aircraft mandates a maximum operating angular velocity of $300 \mathrm{rad} / \mathrm{s}$ . Determine whether it is safe to install this propeller on an aircraft whose engine is expected to run at a maximum of 2800 rpm .

Which ordered pair is a solution to the inequality $8 y+3 x>-4$ ? $(4,-2)$ $(-3,1)$ $(-2,-1)$ $(-4,1)$

Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. $(x-2)(x+4) \leq 0$

Solve the inequality. $\begin{array}{l} \frac{x}{4} \leq x+3 \\ x \geq[?] \end{array}$

Question
Solve the following inequality for $r$ . Write your answer in simplest form. $9 r-4(-5 r-5) \leq-9 r+10+5$
Answer Attempt 1 out of 3 $r$ $\square$ Submit Answer

Solve the inequality and graph the solution on the line provided. $-53+6 x>-71$
Answer Attempt 1 out of 3 $\square$ $\square$ $\square$ $\square$ $\square$ or
Inequality Notation: $\square$ Number Line: Submit Answer

Question 5
Which ordered pairs are solutions to the inequality $-2 x+3 y \geq 3$ ? Choose all that ap $(-1,-2)$ $(4,1)$ $(2,3)$ $(-1,2)$ $(0,1)$ $(2,-3)$ $(0,-1)$

Determine whether the given numbers are solutions of the inequality. $8,-20,-13$ , $-3$ $y-9>2 y-2$
Is 8 a solution? Yes No
Is -20 a solution? No Yes
Is - 13 a solution? No Yes
Is -3 a solution? No Yes

Solve the inequality. (Enter your answer using interval notation.) $x^{2} e^{x}-7 e^{x}<0$

$2.5(4 x-2)>10$ True False

$3(2 x-4)+1>2(2 y-3)-8$

Solve the following inequality. $(x+2)(x-4)(x+6) \leq 0$
Write your answer ás an interval or union of intervals. If there is no real solution, click on "No solution".

3) Chris wants to order DVD's over the internet. Each DVD costs $\$ 15.99$ and shipping the entire order costs \ $9.99. If he can spend no more than$ \ $100$ , how many DVD's could he buy?

12 more practice 5) Pet Supplies makes a profit of $\$ 5.50$ per bag on its line of natural dog fe 5 sions to $n$ profit of no less than $\$ 5225$ , how many bags of dog food does it need to sell?

Find the intervals where $f(x) \geq 0$ for $f(x)=x-2$ . Use interval notation; enter EMPTY or $\varnothing$ for none.

Solve the inequality: $-5(x-6) \leq 3(x+2)$ .

Express the interval $[-17,17]$ as an absolute value inequality for variable $x$ .

Find the set $S=\{x:|x^{2}-6|>7\}$ as a union of intervals.

Solve the inequality $\frac{x-5}{4}+\frac{3-2 x}{3}<-2$ .

Solve the inequality $0 \leq 2z + 5 < 8$ .

Solve the inequality: $\frac{1}{2}(x-4)-2 x \leq 5(3-x)$ .

Solve the inequality: $\frac{2 y-3}{2}+\frac{3 y-1}{5}<y-1$

Graph the solution set for the inequality $-2(x+6)>-4x$ on a number line.

Which inequality matches $-4(x+7)<3(x-2)$ ? A. $-7 x<22$ B. $-7 x<-34$ C. $-7 x>22$ D. $-7 x>-34$

Solve the inequality $2 > \frac{1}{8} m$ for the variable 'm'.

Solve the inequality $|2x-5|-3<-7$ and identify the solution set: $-5<x<-1$ , $x<-5$ or $x>-1$ , $\varnothing$ , or $R$ .

Solve the inequality $-3|x+2|<-9$ .

Encuentra el valor mínimo de $x$ en la inecuación: $(x-1)^{2}+(x-2)^{2} \leq x^{2}+x-1$ . Opciones: a. -1, b. 0, c. 1, d. 2.

Find the range for the third side of a triangle with sides $6 \mathrm{ft}$ and $19 \mathrm{ft}$ .

Determine the possible range for the third side of a triangle with sides $7 \mathrm{~km}$ and $29 \mathrm{~km}$ .

Find the range for the third side of a triangle with sides 13 in. and 27 in.: $14 < n < 40$ .

What is the minimum distance between Boston and Hartford if NYC, Boston, and Hartford form a triangle? $d > 187 - 97$

Find the range of possible values for $x$ if $x$ , 4, and 6 are the sides of a triangle.

Analiza la inecuación: $(x+2)^{2}+(x+3)^{2} \geqslant 2 x^{2}+63$ . ¿Cuál es su conjunto solución?

Resuelve la inecuación: $(x+2)^{2}+(x+3)^{2} \geqslant 2 x^{2}+63$ . ¿Cuál es el conjunto solución?

Encuentra el menor valor de $x$ en la inecuación: $(x-1)^{2}+(x-2)^{2} \leqslant x^{2}+x-1$ . Opciones: a. -2 b. -1 c. 0 d. 1 e. 2

Resuelve la inecuación: $(x+2)^{2}+(x+3)^{2} \geqslant 2 x^{2}+63$ . ¿Cuál es el conjunto solución?

Resuelve la inecuación $\frac{1}{x}-\frac{1}{x-1}<0$ y encuentra el intervalo solución.

Write the inequality $3 \leq x$ in interval notation.

Solve the inequality $\frac{x}{5} \leq 2$ for $x$ .

Solve $-2 \geq x - 5$ for the variable $x$ .

Insert $<$ or $>$ in the shaded areas: a) 9 _ 14, b) -9 _ -14.

Insert $<$ or $>$ between the numbers to make this true: $\frac{5}{8} \square \frac{3}{7}$ .

Insert $<$ or $>$ in the blank to make the statement true: -0.031 \_ -0.046.