Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 9 - 9.5 - Systems of Inequalities - 9.5 Exercises - Page 679: 76a


$x \gt 0\\y \gt x \\ \pi y^2 \gt \pi x^2+10$.

Work Step by Step

The radius of the smaller circle is positive; this means that $x \gt 0$ The radius $y$ is for the larger circle; this means that $y \gt x$ The area of the larger circle is at least $10 \ sq \ unit$ greater; this means that $\pi y^2 \gt \pi x^2+10$. Thus, the system is: $x \gt 0\\y \gt x \\ \pi y^2 \gt \pi x^2+10$.
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