QuestionSolve for $n$ in the inequality: $-17 < -3 - n$ .

Studdy Solution

STEP 1

Assumptions1. We are given the inequality $-17 < -3 - n$ . We need to solve for $n$

STEP 2

Our goal is to isolate $n$ on one side of the inequality. We can start by adding $$ to both sides of the inequality to cancel the $-$ on the right side.
$-17 + < - - n +$

STEP 3

implify both sides of the inequality.
$-14 < -n$

STEP 4

We want $n$ to be positive, so we can multiply both sides of the inequality by $-1$ . Remember, when we multiply or divide both sides of an inequality by a negative number, we must reverse the direction of the inequality.
$-1 \times -14 > -1 \times -n$

STEP 5

implify both sides of the inequality.
$14 > n$ This is the same as $n <14$ . So, the solution to the inequality is $n <14$ .

Was this helpful?

QuestionSolve for $n$ in the inequality: $-17 < -3 - n$ .

Studdy Solution

STEP 1

Assumptions1. We are given the inequality $-17 < -3 - n$ . We need to solve for $n$

STEP 2

Our goal is to isolate $n$ on one side of the inequality. We can start by adding $$ to both sides of the inequality to cancel the $-$ on the right side.
$-17 + < - - n +$

STEP 3

implify both sides of the inequality.
$-14 < -n$

STEP 4

We want $n$ to be positive, so we can multiply both sides of the inequality by $-1$ . Remember, when we multiply or divide both sides of an inequality by a negative number, we must reverse the direction of the inequality.
$-1 \times -14 > -1 \times -n$

STEP 5

implify both sides of the inequality.
$14 > n$ This is the same as $n <14$ . So, the solution to the inequality is $n <14$ .

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionSolve for nnn in the inequality: −17<−3−n-17 < -3 - n−17<−3−n.

Studdy Solution

STEP 1

Assumptions1. We are given the inequality −17<−3−n-17 < -3 - n−17<−3−n . We need to solve for nnn

STEP 2

Our goal is to isolate nnn on one side of the inequality. We can start by adding $$ to both sides of the inequality to cancel the $-$ on the right side.−17+<−−n+-17 + < - - n +−17+<−−n+

STEP 3

implify both sides of the inequality.−14<−n-14 < -n−14<−n

STEP 4

We want nnn to be positive, so we can multiply both sides of the inequality by −1-1−1. Remember, when we multiply or divide both sides of an inequality by a negative number, we must reverse the direction of the inequality.−1×−14>−1×−n-1 \times -14 > -1 \times -n−1×−14>−1×−n

STEP 5

implify both sides of the inequality.14>n14 > n14>nThis is the same as n<14n <14n<14. So, the solution to the inequality is n<14n <14n<14.

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionSolve for $n$ in the inequality: $-17 < -3 - n$ .

Assumptions1. We are given the inequality $-17 < -3 - n$ . We need to solve for $n$

Our goal is to isolate $n$ on one side of the inequality. We can start by adding $$ to both sides of the inequality to cancel the $-$ on the right side.
$-17 + < - - n +$

implify both sides of the inequality.
$-14 < -n$

We want $n$ to be positive, so we can multiply both sides of the inequality by $-1$ . Remember, when we multiply or divide both sides of an inequality by a negative number, we must reverse the direction of the inequality.
$-1 \times -14 > -1 \times -n$

implify both sides of the inequality.
$14 > n$ This is the same as $n <14$ . So, the solution to the inequality is $n <14$ .