Question

Solve |4x - 8| < 12
{x|-12 < x < 12}
{x|-5 < x < 5}
{x|-1 < x < 5}

Answer 1

Answer:

{x|-1 < x < 5}

Step-by-step 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