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 $(-\infty,-1)\cup (0,1)$.

[Back] [Exercises] [Next]
[Algebra] [Trigonometry] [Complex Variables]
[Calculus] [Differential Equations] [Matrix Algebra]

S.O.S MATHematics home page

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Helmut Knaust
1998-06-12

Copyright © 1999-2024 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour