How do I solve this inequality? Please help.

Question

(3x-2)/(5)-2<(2x-3)/(2)

Answer 1

for michele
(3x-2)/(5)-2<(2x-3)/(2)
multiple both sides by LCD of 10
2(3x - 2) - 20 < 5(2x - 3)
6x - 4 - 20 < 10x - 15
6x - 24 < 10x - 15
-9 < 4x
-9/4 < x
x > -9/4