College Algebra (10th Edition)

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

Chapter 1 - Section 1.5 - Solving Inequalities - 1.5 Assess Your Understanding - Page 129: 125

Answer

See below.

Work Step by Step

We know that $0\lt a\lt b$. Thus if we multiply this inequality by $\frac{1}{ab}\gt0$, we get: $0\lt \frac{1}{b}\lt \frac{1}{a}$, which we wanted to prove.
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