College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 5 - Section 5.4 - Polynomial and Rational Inequalities - 5.4 Assess Your Understanding - Page 373: 21

Answer

$x\gt4$.

Work Step by Step

We know that $(x-k)^2\geq0$ for all $k$. $x^3-4x^2=x^2(x-4)$ So here for the inequality to be true, $x-4\gt0\\x\gt4$ and $x^2\ne0\\x\ne0$ So the solution is $x\gt4$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.