Explanation:
Solve the inequality for x.
10x > 9(2x - 5) - 11
10x > 18x - 45 - 11
10x > 18x - 56
subtract 18x from both sides:
10x - 18x > 18x - 56 - 18x
-8x > - 56
divide both sides by -8 and remember to flip the sign:
-8x/-8 < - 56/-8
x < 7
This means that x can be any number below 7.
In set builder notation: (-∞ , 7).