Question

How do I solve this inequality?

Answer 1

Explanation:

9 ≤ |4x + 7|

9 ≤ 4x + 7

9 - 7 ≤ 4x

2 ≤ 4x

2/4 ≤ x

1/2 ≤ x

9 ≤ |4x + 7|

9 ≤ -(4x + 7)

9 ≤ -4x - 7

9 + 7 ≤ -4x

16 ≤ - 4x

16/-4 ≤ x

-4 ≤ x

{-4 ≤ x ≤ 1/2}