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: 3

Answer

Refer to the image below for the graph.
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Work Step by Step

To graph the given inequality, do the following: (1) Graph the boundary line $x-y=7$. (refer to the attached image below for the graph) (2) Choose a test point that is not on the boundary line. Substitute the x and y values of the test point into the inequality. Let $(0,0)$ be the test point. $x-y\ge 7 \\0-0\ge 7 \\0 \ge 7$ This statement is false therefore the solution to the inequality is the other half-plane on the other side of the boundary line. Shade that region to complete the graph. (refer to the attached image in the answer part for the graph)
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