# How do you solve and graph the absolute value inequality abs(2x + 4)> 8?

May 11, 2018

Look below for graph $x > 6$ , $x > - 2$

#### Explanation:

$| 2 x + 4 | > = \pm 8$

Let's do $- 8$ first

$| 2 x + 4 | > - 8$

Subtract $4$ to both sides

$| 2 x |$ > $- 12$

$| x |$ > $- 6$

Then you absolute value the RH Side

$x > 6$

Now $+ 8$

Do the same steps

$x > - 2$