Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 3 Linear Systems and Matrices - 3.3 Graph Systems of Linear Inequalities - 3.3 Exercises - Skill Practice - Page 171: 6


The graph is attached.

Work Step by Step

To graph an inequality, first pretend like the equation given has an equal sign instead of an inequality symbol. Then, graph the line. 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. Once both inequalities are graphed, we shade the intersection of the two inequalities. Note, while the red and blue area are shaded (like in the book) for clarity, the only region that should be shaded is the intersection (purple region). For this inequality, there is no intersection.
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