Answer:
x < 4
Explanation:
3/4(x+8)>1/2(2x+10) (multiply both sides by 4)
(4)(3/4)(x+8)>(4)(1/2)(2x+10)
3(x+8)>2 (2x+10) (expand parentheses by distribution property)
x(3)+8(3)>(2x)(2)+10(2)
3x+24>4x+20 (subtract 3x from both sides)
3x+24 - 3x > 4x+20- 3x
24 > x+20 (subtract 20 from both sides)
24 - 20 > x + 20 - 20
4 > x (rearrange)
x < 4