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: 30


See below.

Work Step by Step

$x^4\lt 9x^2\\x^4-9x^2\lt0\\x^2(x^2-9)\lt0$ We know that $(x-k)^2\geq0$ for all $k$. So here for the inequality to be true, $x^2-9\lt0\\x^2\lt9$ $x^2\lt9$ when $-3\lt x\lt3$ So the solution is $-3\lt x\lt3$
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.