2017 Pascal Problem 18

Given two different numbers on a number line, the number to the right is greater than the number to the left. The positions of x, x^3 and x^2 are marked on a number line. Which of the following is a possible value of x?

\textbf{(A)}\ \frac{1}{5}\quad \textbf{(B)}\ \frac{3}{2}\quad \textbf{(C)}\ -\frac{2}{5}\quad \textbf{(D)}\ -\frac{4}{3}\quad \textbf{(E)}\ 2

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.