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

ruigE 2020-12-30 Answered

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

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Expert Answer

berggansS
Answered 2020-12-31 Author has 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).

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Jeffrey Jordon
Answered 2021-11-03 Author has 2087 answers

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