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 - Page 148: 27


$\left[\frac{1}{3}, 5\right]$ Refer to the image below for the graph.

Work Step by Step

Add $7$ to each part of the inequality to obtain: $\begin{array}{ccccc} &-6+7 &\le &3x-7+7 &\le &8+7 \\&1 &\le &3x &\le &15 \end{array}$ Divide $3$ to each part of the inequality to obtain: $\begin{array}{ccccc} &\dfrac{1}{3} &\le &\dfrac{3x}{3} &\le &\dfrac{15}{3} \\&\dfrac{1}{3} &\le &x &\le &5 \end{array}$ Thus, the solution set is $\bf[\frac{1}{3}, 5]$. To graph this solution set, plot solid dots at $\dfrac{1}{3}$ and $5$ 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.