How do you solve -abs(x+1)=-2?

1 Answer
Jul 8, 2015

x=1
or
x=-3

Explanation:

If -abs(x+1) = -2 then
color(white)("XXXX")abs(x+1) = 2

Case 1: x+1>=0
In this case abs(x+1) = 2

rArr x=1

Case 2: (x+1) < 0
In this case abs(x+1) = 2
is the same as (-x-1) = 2
rArr x=-3