# Math Help - Solving Inequalities involving absolute zero

1. ## Solving Inequalities involving absolute zero

Alright, I think I get how to do these problems, but just to be on the safe side, could somebody check to make sure I did it right?
Here's the original expression:
5|y+3|-7<8

And here's my work:
5|y+3|-7<8
5|y+3|<15
|y+3|<3

y+3>-3 and y+3<3

Is there another step after that? Or is that it?

2. Hello,

Yep, you can isolate y

3. So my final answer should be:

y > -6 and y < 0

Is that correct?

4. Correct ^^

So the solution will be : $]- 6 ; 0[$