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 374: 82

Answer

No.

Work Step by Step

The student took into account one of the critical points but forgot x=3. The inequality has a rational equation with a denominator and numerator of equal degree. That means that it has a vertical and horizontal asymptote. The student didn't take into account the vertical asymptote. It is important to notice when canceling out a denominator in a rational function since there is a good chance it contains a vertical asymptote and, thus, contains a critical point.
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