-2/5x-9<9/10

Question

basically just solving for x but whatever that's called in an inequality

Answer 1

-2/5x - 9 < 9/10
multiply by 10 to get rid of those pesky fractions
-4x - 90 < 9
-4x < 81
x > 81/-4

or maybe you meant

-2/(5x-9) < 9/10
-20/(5x-9) < 9
Now you have two solutions, depending on whether 5x-9 > 0
If 5x-9 > 0, then -20 < 9(5x-9)
If 5x-9 < 0 then -20 > 9(5x-9)

Answer 2

-2x/5 - 9 < 9/10.
Multiply both sides by 10:
-4x - 90 < 9,
-4x < 9 + 90,
-4x < 99,
X > -99/4.
X > -24 3/4.