Question

Solve 2x - 8 ≥ 22 - 4x.

A. x ≥ 5

B. x ≥ -15

C. x ≤ 5

D. x ≤ -15

Answer 1

A. x ≥ 5

Explanation:

Given :

2x - 8 ≥ 22 - 4x

Add 8 to each side :

2x - 8 + 8 ≥ 22 - 4x + 8

2x ≥ 30 - 4x

Add 4x to each side :

2x + 4x ≥ 30 - 4x + 4x

6x ≥ 30

Divide both sides by 6 :

1/6 x 6x ≥ 1/6 x 30

x ≥ 5