Question 831283
I am assuming you meant to say "less than or equal to"

Let us separate the above into two inequalities:

1.  3b + 2 < 5b - 6:  This amounts to 8 < 2b, or better, 4 < b
2.  5b - 6 <= 2b + 9:  This amounts to 3b <= 15, or better, b <= 5

So our solution is 4 < b <= 5

If I misinterpreted the problem, please let me know.