QuestionSolve the inequality $-2(y+5)+21>2(7-y)$ . What are the possible values for $y$ ?

Studdy Solution

STEP 1

Assumptions1. We are solving the inequality $-(y+5)+21>(7-y)$ for $y$ . . The inequality is a linear inequality, and we are looking for the solution set in the real numbers.

STEP 2

We start by simplifying both sides of the inequality. Distribute the $-2$ on the left side and the $2$ on the right side.
$-2y -10 +21 >14 -2y$

STEP 3

implify the left and right sides of the inequality.
$-2y +11 >14 -2y$

STEP 4

Notice that we have $-2y$ on both sides of the inequality. We can subtract $-2y$ from both sides to eliminate it.
$11 >14$

STEP 5

The inequality $11 >14$ is not true. This means that our original inequality $-2(y+5)+21>2(7-y)$ has no solution.
So, the solution to the inequality is "No solution".

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QuestionSolve the inequality $-2(y+5)+21>2(7-y)$ . What are the possible values for $y$ ?

Studdy Solution

STEP 1

Assumptions1. We are solving the inequality $-(y+5)+21>(7-y)$ for $y$ . . The inequality is a linear inequality, and we are looking for the solution set in the real numbers.

STEP 2

We start by simplifying both sides of the inequality. Distribute the $-2$ on the left side and the $2$ on the right side.
$-2y -10 +21 >14 -2y$

STEP 3

implify the left and right sides of the inequality.
$-2y +11 >14 -2y$

STEP 4

Notice that we have $-2y$ on both sides of the inequality. We can subtract $-2y$ from both sides to eliminate it.
$11 >14$

STEP 5

The inequality $11 >14$ is not true. This means that our original inequality $-2(y+5)+21>2(7-y)$ has no solution.
So, the solution to the inequality is "No solution".

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QuestionSolve the inequality −2(y+5)+21>2(7−y)-2(y+5)+21>2(7-y)−2(y+5)+21>2(7−y). What are the possible values for yyy?

Studdy Solution

STEP 1

Assumptions1. We are solving the inequality −(y+5)+21>(7−y)-(y+5)+21>(7-y)−(y+5)+21>(7−y) for yyy. . The inequality is a linear inequality, and we are looking for the solution set in the real numbers.

STEP 2

We start by simplifying both sides of the inequality. Distribute the −2-2−2 on the left side and the 222 on the right side.−2y−10+21>14−2y-2y -10 +21 >14 -2y−2y−10+21>14−2y

STEP 3

implify the left and right sides of the inequality.−2y+11>14−2y-2y +11 >14 -2y−2y+11>14−2y

STEP 4

Notice that we have −2y-2y−2y on both sides of the inequality. We can subtract −2y-2y−2y from both sides to eliminate it.11>1411 >1411>14

STEP 5

The inequality 11>1411 >1411>14 is not true. This means that our original inequality −2(y+5)+21>2(7−y)-2(y+5)+21>2(7-y)−2(y+5)+21>2(7−y) has no solution.So, the solution to the inequality is "No solution".

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the inequality $-2(y+5)+21>2(7-y)$ . What are the possible values for $y$ ?

Assumptions1. We are solving the inequality $-(y+5)+21>(7-y)$ for $y$ . . The inequality is a linear inequality, and we are looking for the solution set in the real numbers.

We start by simplifying both sides of the inequality. Distribute the $-2$ on the left side and the $2$ on the right side.
$-2y -10 +21 >14 -2y$

implify the left and right sides of the inequality.
$-2y +11 >14 -2y$

Notice that we have $-2y$ on both sides of the inequality. We can subtract $-2y$ from both sides to eliminate it.
$11 >14$

The inequality $11 >14$ is not true. This means that our original inequality $-2(y+5)+21>2(7-y)$ has no solution.
So, the solution to the inequality is "No solution".