Question

..............,...............

Answer 1

$16(\frac{1}{4}x-\frac{1}{2})>24-2x$
$4x-8>24-2x$
$4x+2x>24+8$
$6x>32$
$x>\frac{32}{6}$
$x>\frac{16}{3}$

The correct answer is C.

Answer 2

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

Simplify.

4x - 8 > 24 - 2x

Add 8 to both sides, as well as adding 2x to both sides.

4x + 2x > 24 + 8

Simplify.

6x > 32

Divide both sides by 6.

x > 32/6

Simplify by dividing both the numerator and denominator by 2.

32 ÷ 2 = 16

6 ÷ 2 = 3

So, your answer is :

C)    x > 16/3

~Hope I helped!~