Question

Solve the inequality.

Answer 1

The answer to your question is the letter B.

Explanation:

Data

`16((1)/(4)x - (1)/(2)) > 24 - 2x`

Expand

`(16)/(4)x - (16)/(2) > 24 - 2x`

Add 2x in both sides

`(16)/(4)x - (16)/(2) + 2x > 24 - 2x + 2x`

Simplify

`(16)/(4)x - (16)/(2) + 2x > 24`

Add 8 in both sides

`4x - 8 + 8 + 2x > 24 + 8`

Simplify

6x > 32

Divide both sides by 6

6x/6 > 32/6

Simplify

x > 16/3