Solve

Step

| 4x – 1| > 7  

4x – 1 < -7 or 4x – 1 > 7

4x – 1 +  1 < -7  + 1 

4x < -6

x < -6/4

x < -3/2

4x – 1 +  1 > 7  + 1 

4x > 8

x > 2 

x < -3/2  or x > 2

Use this technique when 
|x| > a
x < -a  or x > a

Solve each inequality separately.

First inequality

Second Inequality

Inequality Notation

Interval Notation

Graph

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