Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 9 - Inequalities and Problem Solving - 9.4 Inequalities in Two Variables - 9.4 Exercise Set - Page 611: 65


The answer is below.

Work Step by Step

Consider the following inequalities: $$ y \geq x^2 \\ y \leq -x^2$$ This system of inequalities will touch only at one point, and the shaded regions do not overlap. Thus, the only solution will be the point $(0,0)$.
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