Match each inequality with the correct solution.

Answer:
a. and iii
b. and i
c. and iv
d. and ii
Step-by-step explanation:
a. [tex]-\frac{3}{2}[/tex]x + 12 > 15 = x > -2
- 12 - 12
[tex]-\frac{3}{2}[/tex]x > 3
2( [tex]-\frac{3}{2}[/tex]x = 3)
-3x > 6
/-3 /-3
x > -2
b. 4x + 12 < 20 = x <2
- 12 - 12
4x < 8
/4 /4
x < 2
c. -8x < 16 = x > -2
/ -8 /-8
x > -2
d. 55 < 35 + 10x = x > 2
-35 -35
20 < 10x
/10 /10
2 < x = x > 2
Hope that helps!