The graph of the inequality is in the image at the end.
How to graph the absolute value inequality?
Here we have the absolute value inequality:
|2x + 4| > 8
First let's simplify the inequality. To do that, we need to break the absolute value part into two simpler ones:
(2x + 4) > 8
(2x + 4) < -8
Now solve these two:
2x + 4 > 8
2x > 8 - 4
2x > 4
x > 4/2
x > 2
The other:
2x + 4 < - 8
2x < -8 - 4
2x < -12
x < -12/2
x < -6
Then we have:
x < - 6 or x > 2
The graph of this compound inequality is in the image below.