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: 6

Answer

$-5, -1, 0$

Work Step by Step

Add 2x to both sides of the inequality: $1-2x+2x \ge 5x+2x \\1 \ge 7x$ Divide both sides of the inequality by $7$: $\dfrac{1}{7} \ge \dfrac{7x}{7} \\\dfrac{1}{7} \ge x \\x \le \dfrac{1}{7}$ Thus, the elements of $S$ that satisfy the inequality are: $-5, -1, 0$
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