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: 26

Answer

$[3, 6]$ Refer to the image below for the graph.
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Work Step by Step

Add $4$ to each part of the inequality to obtain: $\begin{array}{ccccc} &5+4 &\le &3x-4+4 &\le &14+4 \\&9 &\le &3x &\le &18 \end{array}$ Divide $3$ to each part of the inequality to obtain: $\begin{array}{ccccc} &\dfrac{9}{3} &\le &\dfrac{3x}{3} &\le &\dfrac{18}{3} \\&3 &\le &x &\le &6 \end{array}$ Thus, the solution set is $\bf[3, 6]$. To graph this solution set, plot solid dots at $3$ and $6$ then shade the region in between. (refer to the attached image in the answer part above for the graph)
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