What is the solution to 3/4 (x + 8) > 1/2 (2x + 10) ?

A (-∞, - 4)

B (-4, ∞)

C (-∞, 4)

D (4, ∞)

3/4 (x + 8) > 1/2 (2x + 10)

(3/4) x + (3/4) * 8 > (1/2) * (2x) + (1/2) * 10

(3/4) x + 6 > x + 5

(3/4) x - (3/4) x+6 > x - (3/4) x + 5

6-5> (1/4) x + 5-5

4*1>4 * (1/4) x

4>x, or x<4

So, answer is C (-∞, 4).

3/4 (x + 8) > 1/2 (2x + 10)

0.75x + 6 > x + 5

0.75x - x > 5 - 6

-0.25x > - 1

0.25x < 1

x < 1/0.25

x < 4

C (-∞, 4)