Intermediate Algebra (6th Edition)

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

Chapter 3 - Section 3.7 - Graphing Linear Inequalities - Exercise Set - Page 187: 20

Answer

Please see the graph.

Work Step by Step

The area shaded in green is the graph of the line $x-y\le3$. The area shaded in purple is the graph of the line $x+y>-1$. Since the green line has the "or equal to" part in its graph, we use a solid line for that graph. The dark purple area of the graph is the intersection of the two lines. Since we have the word "or" in the problem, we want the union of the two graphs. The union of the two graphs is where the graph is not shaded green or purple.
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