# How do you solve abs(x+1)<3?

Sep 2, 2016

$- 4 < x < 2$

#### Explanation:

As $| x + 1 | < 3$, we have

either $x + 1 < 3$ i.e. $x < 2$

or -(x×1)<3 i.e. $0 < x + 1 + 3$ or $x > - 4$

Hence solution is $- 4 < x < 2$