Question

Solve |4x - 8| < 12

x
-5 < x < 5
-1 < x < 5

Answer 1

x

Explanation:

|4x - 8| < 12 There are two solutions, one positive and one negative. Remember to flip the inequality when we take the negative.

4x-8<12 and 4x-8>-12

Add 8 to each side

4x-8+8 <12+8 and 4x-8>-12+8

4x < 20 4x>-4

Divide by 4

4x/4<20/4 4x>-4/4

x<5 and x >-1

-1<x<5