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

x < 4

Step-by-step 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