Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 13 - Section 13.4 - Nonlinear Inequalities and Systems of Inequalities - Exercise Set - Page 954: 24

Answer

Please see the graph.

Work Step by Step

Black line: $x^2+y^2\geq9$ Orange line: $x^2+y^2\geq16$ $x^2+y^2\geq9$ This equation is similar to $x^2+y^2=9$, which is the equation for a circle with radius 3. If a point is part of the solution set, then it is outside this circle. $x^2+y^2\geq 16$ This equation is similar to $x^2+y^2=1$, which is the equation for a circle with radius 4. If a point is part of the solution set, then it is outside this circle. The solution set of the system is outside of the larger circle. There are points that are part of the solution for the smaller circle but not the larger circle.
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