Algebra: A Combined Approach (4th Edition)

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

Chapter 3 - Review - Page 275: 63

Answer

Please see the graph, made using graphing software.

Work Step by Step

$-x \leq y$ To find the boundary line, replace the $\leq$ sign with the $=$ sign. $-x=y$ Let $x=2$ $-x=y$ $-2=y$ Let $x=-4$ $-x=y$ $-(-4)=y$ $4=y$ Let $x=5$ $-x=y$ $-5=y$ $(2,-2), (-4,4)$, and $(5,-5)$ are on the line. Use $(1,1)$ to determine what side of the line to shade. $-x\leq y$ $-(1) \leq 1$ $-1 \leq 1$ is true, so we shade the side of the line with $(1,1)$.
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