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 571: 20

Answer

please see image .
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Work Step by Step

1. The inequality sign is $< $, so we draw a dashed border 2. The border, $y=x^{2}-9$ is a parabola , obtained from $y=x^{2}$ by shifting down $9$ units, vertex: $(0,-9),$ opens up, x-intercepts: $0=x^{2}-9$ $0=(x+3)(x-3)$ x-intercepts:$ \pm 3$ Additional points : $(\pm 2,-5)$ 3. Test the point $(0,0)$ $0 < 0^{2}-9\quad ?$ $0 < -9\quad ?$ No 4. Shade the region that the origin does not belong to.
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