Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 10 - Section 10.4 - Nonlinear Inequalities and Systems of Inequalities - Exercise Set - Page 629: 45

Answer

Answers vary. Both involve creating the graph like there is an equal sign and then shading the graph based on the inequality symbol.

Work Step by Step

To graph an inequality, we first pretend like the equation given has an equal sign instead of an inequality symbol. Then, graph the equation. Next, shade the region of the graph containing points that result in true statements when plugged into the inequality. Finally, if the inequality is strictly less than or greater than (rather than having an equal sign under it), then dash the line drawn. These steps are the same regardless of whether the inequality is linear or not, so they represent how graphing a linear and nonlinear inequality are similar.
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