# How do you solve and write the following in interval notation: |x + 2| <18?

May 1, 2017

See below.

#### Explanation:

$| x + 2 | < 18$

Since there is an absolute, we must cover both the negative and positive bounds of $x$.

$x + 2 < 18$
$x + 2 > - 18$

So $x < 16$ and $x > - 20$

$\left[- 20 , 16\right)$ is our answer.