# How do you graph and solve abs( x - 3 )> 5?

Apr 21, 2016

#### Answer:

Leaving the segment for the closed interval $x \in \left[- 2 , 8\right]$, mark the x-axis in bold face to represent the inequality $| x - 3 | > 5$.

#### Explanation:

$| x - 3 | > 5$ is the combined inequality for the pair
$x - 3 > 5 \mathmr{and} - \left(x - 3\right) > 5$
or $x > 8 \mathmr{and} x < - 2$

Leaving the segment for the closed interval $x \in \left[- 2 , 8\right]$, mark the x-axis in bold face to represent the inequality $| x - 3 | > 5$.