Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 3 - Section 3.6 - Graphing Linear Inequalities in Two Variables - Practice - Page 261: 6

Answer

Please see the graph, made using graphing software.

Work Step by Step

$x<2$ Treat $x<2$ as $x=2$ to find the boundary line. This line ($x=2$) is a vertical line, so three points on the line are $(2,3), (2,-1),$ and $(2,6)$. Use $(0,0)$ as the test point for shading. $x<2$ $0<2$ is a true statement, so we shade the side of the line with $(0,0)$.
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