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: 16


$\color{blue}{(-\infty, 1]}$

Work Step by Step

Subtract $3$ and $x$ to both sides, then combine like terms to obtain: $-4x+3-3-x\ge -2+x-3-x \\-5x \ge -5$ Divide $-5$ to both sides. Since a negative number was divided to both sides of the inequality, the inequality symbol will be reversed. $\dfrac{-5x}{-5} \le \dfrac{-5}{-5} \\x \le 1$ In interval notation, the solution set is: $\color{blue}{(-\infty, 1]}$
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