3x-2/5<5x+3/5

Question

I am not sure how to do this question. I am trying to help my son.

Answer 1

Starting with 3x - 2/5 < 5x + 3/5

Subtract 3x and 3/5 from both sides and simplify:

-2/5 < 2x + 3/5

-5/5 < 2x

-1 < 2x

Divide both sides by 2:

-1/2 < x.

Therefore x > -1/2.