1.-2/5x-9<9/10

2. 4x+6<-6

3.q+12-2(q-22) > 0

work just like any equation... For example, assuming the usual carelessness with parentheses, but watch when multiplying/dividing by negative values.

-2/(5x-9) < 9/10

If (5x-9) > 0 (that is, x > 9/5), we have
-2 < 9/10 (5x-9)
-20 < 9(5x-9)
-20 < 45x - 81
61 < 45x
61/45 < x
since 9/5 > 61/45, we have x > 9/5

If (5x-9)<0 (that is, x < 9/5)
x < 61/45
So, the other solution set is x < 61/45