Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 9 - Inequalities and Problem Solving - 9.2 Intersections, Unions, and Compound Inequalities - 9.2 Exercise Set - Page 590: 36


$$(-\infty \:,\:-5]\cup \left(2,\:\infty \:\right)$$

Work Step by Step

To graph a one-variable inequality, first use the rules of inequalities to solve the inequality. (Recall, when multiplying or dividing by a negative number, the inequality sign must be flipped.) Next, shade the region that satisfies the inequality. At the end points, if the end point is included, use a solid dot. Otherwise, do not fill the dot in. The interval notation for the inequality is: $$ (-\infty \:,\:-5]\cup \left(2,\:\infty \:\right)$$
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