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: 20

Answer

$(-\infty, -\frac{1}{2}]$ Refer to the image below for the graph.
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Work Step by Step

Add $9x$ on both sides to obtain: $5+6x \le 2$ Subtract $5$ on both sides to obtain: $6x \le -3$ Divide by $6$ on both sides to obtain: $x \le \dfrac{-3}{6} \\x \le -\dfrac{1}{2}$ The solution set is the set of real numbers less than or equal to $-\dfrac{1}{2}$. In interval notation, the solution set is: $(-\infty, -\frac{1}{2}]$ To graph this inequality, plot a solid dot at $x=-\dfrac{1}{2}$ then shade the region to its left. (refer to the attached image in the answer part)
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