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 863: 18


See graph and explanations.

Work Step by Step

Step 1. Graph the circle $(x+2)^2+(y-1)^2=16$; as the inequality does not include an equal sign, make this circle dashed. Step 2. Using a test point away from the boundary, such as $(0,0)$, we have $0\lt16$, which is true; thus the side with this test point should be shaded as shown in the figure.
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