# What is the solution to the inequality absx < 5?

Aug 15, 2015

$x < 5$
$x > - 5$

#### Explanation:

$\left\mid x \right\mid < 5$

Since $\left\mid x \right\mid$ can be $x$ or $- x$, we have two inequalities.

$x < 5$ and $- x < 5$

Positive Inequality

$x < 5$ (needs no further simplification)

Negative inequality

$- x < 5$

Multiply both sides by $- 1$.

$x > - 5$