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: 29

Answer

$[4.5, 5)$ Refer to the image below for the graph.
1509704852

Work Step by Step

Subtract $8$ to each part of the inequality to obtain: $\begin{array}{ccccc} &-2-8 &\lt &8-2x-8 &\le &-1-8 \\&-10 &\lt &-2x &\le &-9 \end{array}$ Divide $-2$ to each part of the inequality. Note that doing this will affect the inequality symbols as they will flip to the opposite direction: $\begin{array}{ccccc} &\dfrac{-10}{-2} &\gt &\dfrac{-2x}{-2} &\ge &\dfrac{-9}{-2} \\&5 &\gt &x &\ge &4.5 \end{array}$ This inequality is equivalent to: $4.5 \le x \lt 5$ Thus, the solution set is $\bf[4.5, 5)$. To graph this solution set, plot a solid dot at $4.5$ and a hole (or hollow dot) at $5$ then shade the region in between. (refer to the attached image in the answer part above for the graph)
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.