Solving Polynomial Inequalities Analytically

Exercise 2.

Find the solutions of the inequality

x3<x.

Answer.

Rewrite as x3-x<0. The equation x3-x=0 has as solutions x=-1, x=0 and x=1:

The set of solutions of the inequality is the set $(-\infty,-1)\cup (0,1)$.

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Helmut Knaust
1998-06-12

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