College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.5 - Page 572: 76


infinitely many

Work Step by Step

The first inequality represents the region INSIDE OR ON THE CIRCLE with radius $\sqrt{24}$, centered at $(-4,3)$ The second inequality represents the region OUTSIDE OR ON THE CIRCLE with radius $\sqrt{24}$, centered at $(-4,3)$ The intersection of the two solution sets is the circle itself, and it has an infinite number of points. So, there will be infinitely many solutions to the system.
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