Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.5 - Systems of Inequalities - Exercise Set - Page 862: 3

Answer

See graph and explanations.

Work Step by Step

Step 1. Graph the line $x-2y\gt10$. Since the inequality does not include an equal sign, make this line dashed. Step 2. Using a test point away from the line, such as $(0,0)$, we have $0\gt10$, which is not true. Thus, the other side which does not include this test point should be shaded as shown in the figure.
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