Solve the Inequality.

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

A. x>-6

B. x>6

C. x>16/4

D. x>-10/3

x>16/3

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

Use the distributive property on the left side:

4x - 8 > 24-2x

Add 2x to each side:

6x - 8 > 24

Add 8 to each side:

6x >32

Divide both sides by 6:

x > 32/6 reduces to 16/3

Not sure if there is a typo in any of your answers, but I do not see the correct answer listed.