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

1 Answer
Nghi N.
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 > 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).
Answer by graphing:

<=========== -5 ----------- 0 -------------- 6 =============>

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