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: 33


$[4.5, 5)$ Refer to the attached image for the graph.

Work Step by Step

Subtract 8 to each part to have: $\\-2-8 \lt 8-2x-8 \le -1-8 \\-10 \lt -2x \le -9$ Divide $-2$ to each part. Note that since you are dividing a negative to the inequality, the inequality symbols will flip. Thus, $\\\frac{-10}{-2} \gt x \gt \frac{-9}{-2} \\5 \gt x \ge 4.5 \\4.5 \le x \lt 5$
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