Solve and graph the absolute value inequality: |2x + 4| > 8.

Solution:

Given inequality is

|2x + 4| > 8

2x + 4 < -8 and 2x + 4 >8

2x < -8 - 4 and 2x > 8 - 4

2x < -12 and 2x > 4

x < -24 and x > 2

Therefore, the solution for the given inequality is the shaded region

Solve and graph the absolute value inequality: |2x + 4| > 8.

Summary:

By Solving the absolute value inequality: |2x + 4| > 8, graph is as shown.