# Math Help - inequality involving absolute value

1. ## inequality involving absolute value

find solution set to following inequality

0<|x+1|<=2

2. Hello, Bobby77!

Find the solution set to: .0 < |x+1| < 2

We have: .0 < x + 1 < 2 . . -1 < x < 1

and: .0 < -(x + 1) < 2 . . 0 < -x - 1 < 2 . . 1 < -x < 3 . . -3 < x < -1

Solution set: .[-3,1) U (-1,2]