# How do you solve the inequality abs(x+7)>3?

Apr 14, 2017

$x < - 10 \text{ or } x > - 4$

#### Explanation:

Inequalities of the form | x| > a have solutions of the form.

$x < - a \textcolor{red}{\text{ or }} x > a$

$\Rightarrow x + 7 < - 3 \textcolor{red}{\text{ or }} x + 7 > 3$

subtract 7 from both sides of both inequalities.

$\Rightarrow x < - 10 \textcolor{red}{\text{ or }} x > - 4$