Solve the absolute value equation.-7(y + 5) < -9y - 35

ruigE

ruigE

Answered question

2020-12-30

Solve the absolute value equation.
7(y+5)<9y35

Answer & Explanation

berggansS

berggansS

Skilled2020-12-31Added 91 answers

Step 1
Solve the absolute value function as follows.
7(y+5)<9y35
7y+(7)5<9y35 (Multiply -7 inside the paranth eses)
7y35<9y35
7y35+35<9y35+35 (Add 35 to both sides)
7y<9y
Step 2
On further simplification.
7y+9y<9y+9y (Add 9y to both sides)
2y<0
2y2<02 (Divide the inequality by 2 on both sides)
y<0
Step 3
Result:
The solution set of the absolute value function is {yy<0} or using interval notation, (,0).

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-03Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?