Answer
(-1.00, 0) U (1.00, infinity)
Work Step by Step
1) The first step is graph the two equations , refer to the image
2) The goal is to find out at what points is $x^{3}$$\lt$x. That means we need to look at where the graph of y= $x^{3}$ is underneath the graph of y=x.
3) On the graph we can see that it is from, but not including, the point (-1,0) to (0,0) and then (1,0) to infinity since that is where the line of y=$x^{3}$ is underneath the line of y=x