Question

(1/2)|5x+2|-7 is less than or equal to -3+2x

Answer 1

0.5|5x+2|-7≤-3+2x
treat as an equation and find both x.

positive case:
0.5(5x+2)-7=-3+2x
2.5x+1-7=-3+2x
0.5x=3 /*2
x=6

negative case:
0.5(-(5x+2))-7=-3+2x
0.5(-5x-2)-7=-3+2x
-2.5x-1-7=-3+2x
4.5x=-5 /: 4.5
x=-10/9

check if both answers are indeed correct (they are)

Answer 2

Place the x values on the numbers axis, and find what happens in between the answers by plugging arbitrary numbers in the original inequality.