Find the solutions of the inequality

*x*^{3}<*x*.

Rewrite as *x*^{3}-*x*<0. The equation *x*^{3}-*x*=0 has as solutions *x*=-1, *x*=0 and *x*=1:

The set of solutions of the inequality is the set
.

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*Helmut Knaust
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*1998-06-12*
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