Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.8 - Inequalities - 1.8 Exercises - Page 89: 22

Answer

$(-\infty, \frac{12}{11})$ Refer to the attached image below for the graph.
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Work Step by Step

Add $3x$ to both sides to have: $\\5-3x+3x \ge 8x-7+3x \\5 \ge 11x-7$ Add 7 to both sides to have: $\\5+7 \ge 11x-7+7 \\12 \ge 11x$ Divide to both sides to have: $\\\frac{12}{11} \ge x \\x \le \frac{12}{11}$
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