Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.7 Inequalities - 1.7 Exercises - Page 159: 14

Answer

$\color{blue}{[-5 , +\infty)}$

Work Step by Step

Add $8$ to both sides: $-3x-8+8 \le 7+8 \\-3x \le 15$ Divide $-3$ to both sides. Since a negative number was divided to both sides of the inequality, the inequality symbol will be reversed. $\dfrac{-3x}{-3} \ge \dfrac{15}{-3} \\x \ge -5$ In interval notation, the solution set is: $\color{blue}{[-5 , +\infty)}$
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