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: 5


$\frac{5}{6}, 1, \sqrt5, 3, 5$

Work Step by Step

Add 2 to both sides of the inequality: $-2+3x+2 \ge \frac{1}{3}+2 \\3x \ge \frac{1}{3} + \frac{6}{3} \\3x \ge \frac{7}{3}$ Divide both sides of the inequality by $3$: $\dfrac{3x}{3} \ge \dfrac{\frac{7}{3}}{3} \\x \ge \frac{7}{9}$ Thus, the elements of $S$ that satisfy the inequality are: $\frac{5}{6}, 1, \sqrt5, 3, 5$
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