College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.7 - Solving Inequalities - 1.7 Exercises - Page 148: 9


$-5, -1, \sqrt5, 3, 5$

Work Step by Step

Since the fractions both have a numerator of $1$, then the fraction $\frac{1}{x}$ will be less than or equal to $\frac{1}{2}$ when $x \ge 2$ or when $x$ is negative. Thus, the elements of $S$ that satisfy the inequality are: $-5, -1, \sqrt5, 3, 5$
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