Help me melody

2x - 3 < x + 2 ≤ 3x + 5.    we neeed to solve this in pieces.....first...

2x - 3 < x + 2       add 3 to both sides, subtract x from both sides

x < 5

Then  ....we need to solve

x + 2 ≤ 3x + 5    subtract x, 5 from both sides

-3 ≤ 2x         divide both sides by 2

-3/2 ≤  x

So....the answer is :          -3/2 ≤  x  <  5

Sorry Okim2001, I was off doing something else :)