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: 28

Answer

Please see the graph.

Work Step by Step

Blue line: $x^2+y^2\leq9$ Orange line: $y\lt x^2$ $x^2+y^2\leq 9$ is similar to $x^2+y^2=9$, and the latter is the equation for a circle with radius 3. For the inequality, if a point is inside the circle, then it is part of the solution. $y\lt x^2$ For this inequality, we pick the point $(1,2)$ to determine what side of the line to shade. $y\lt x^2$ $2\lt 1^2$ $2 \lt 1$ (false, so we shade the side of the line without the point) The overlap of the two solution sets is the solution set for the system of inequalities.
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