Stuck on problem

Question

If X ^ 3 < X ^ 2 < x then the value of x could be

Answer 1

Since x^{2} is non-negative and x is greater than x^{2} is means that the lower bound for x is 0. That is 0<x. Now for the upper bound again from the same inequality you get that x<1. So the desired answer is 0<x<1.