For this question, how do you get the solution of -1? If you solve it, it’s X^2 = 1

Is this a scenario where to solve this question, you plug in numbers to test which inequality hold? For example

X < 1 is false because if x = 0, the inequality wouldn’t hold

-1 < x < 1 is false because if x = 0, the inequality wouldn’t hold again given the range contains 0

-1 < x < 0 is false because if x = -0.5, x^3 > x

x < -1 is true because of x = -2, x^3 will be more negative (further from x = -2, eg -8)

0 < x < 1 is true (special property for a number between 0 and 1) - x^2 < x < square root x