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 - Exercise Set - Page 263: 8

Answer

Please see the graph.

Work Step by Step

$x+y\geq -2$ Replace the $\geq$ inequality sign with $=$ to find the boundary line. $x+y=-2$ $y=-x-2$ Let $x=0$ (y-intercept) $y=-x-2$ $y=-0-2$ $y=-2$ Let $y=0$ (x-intercept) $y=-x-2$ $0=-x-2$ $x=-2$ $(-2,0)$ and $(0,-2)$ are on the line. Use $(0,0)$ to determine what side of the line to shade. $x+y\geq -2$ $0+0\geq -2$ $0 \geq -2$ is a true statement, so we shade the side of the line with $(0,0)$.
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