So my homework has a problem on it that I think I'm solving right, but I keep getting it wrong.
It's just a compound inequality
So it's:
3x+2>2x-3>x-11

I know you split it up into two, so:

3x+2>2x-3 and 2x-3>x-11

3x+2>2x-3
Add three to both sides

3x+5>2x
Subtract 3x from both sides
5>-x
Divide by -1
-5<x


And
2x-3>x-11
subtract x
x-3>-11
add 3
x >-8

So the answer would be something like (-8, infinity), which discounts the -5

Problem is, that's not right, and I know it's not right.
I don't know what I'm fucking up here. I feel like it's braindead easy and I'm going to be really mad at myself for not getting it.