# How do you solve the inequality abs(4x - 2) > 22?

Nov 24, 2015

Solve equation with absolute expression |4x - 2| > 22

#### Explanation:

Decompose the equation in 2 parts:
a. (4x - 2) > 22
4x > 24 --> $x > \frac{24}{4} = 6$
b.- (4x - 2) > 22
-4x + 2 > 22 --> -4x > 22 - 2 = 20
-4x > 20 --> x < 20/-4 = - 5
Finally: x < -5 and x > 6
Answer by open intervals: (-infinity, -5) and (6, +infinity).