# How do you solve and graph abs(x+1)<4?

Sep 26, 2017

#### Explanation:

The numbers whose absolute values are less that $4$ are between $- 4$ and $4$, so we need

$- 4 < x + 1 < 4$.

Subtracting $1$ from each part gets us

$- 5 < x < 3$

The solution set is $\left(- 5 , 3\right)$.

To graph, put an open circle at $- 5$ and another at $3$. Connect them with s line segement.