Find the following inequality.

15(x^2-1)>16x

is it lost? You must mean "solve" the inequality

15(x^2-1)>16x
15x^2 - 16x - 15 > 0
(5x+3)(3x-5) > 0

If the product is positive, either both are positive, or both are negative. So,

x < -3/5 or x > 5/3