find solution set to following inequality

0<|x+1|<=2

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- Sep 27th 2006, 02:40 PMbobby77inequality involving absolute value
find solution set to following inequality

0<|x+1|<=2 - Sep 27th 2006, 03:13 PMSoroban
Hello, Bobby77!

Quote:

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]