Question

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

Answer 1

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).

Answer 2

 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)