Question

Solve the absolute inequality: |4x-5| >3

Answer 1

x > 2 or x < 1/2

Explanation:

|4x - 5| > 3

Case 1 Case 2

4x - 5 > 3 - (4x - 5) > 3

4x > 5 + 3 - 4x + 5 > 3

4x > 8 -4x > - 5 + 3

x > 2 -4 x > - 2

-x > -2/4 multiply by -1 to make "x" positive and

this action with change all signs :

any negative becomes positive and

> becomes <

x < 2/4

x < 1/2