Solve the Absolute value innequality

Question

|4x-12|>16

Answer 1

|4x - 12| > 16

Assume argument is positive

4x - 12 > 16

4x > 28

x > 7

Assume argument is negative

-(4x - 12) > 16

4x - 12 < -16

4x < -4

x < -1

Answer 2

4x - 12 > 16 or 4x - 12 < - 16;

x > 7 or x < - 1;

(- ∞, - 1) U (7, ∞)