Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Review Exercises - Page 878: 54

Answer

The graph is shown below:
1570277569

Work Step by Step

Let us consider the given inequalities $\begin{align} & y>{{x}^{2}} \\ & x+y<6 \\ & y< x+6 \end{align}$ We see that the first inequality is incorrect for the test point $\left( 0,0 \right)$; therefore, the shaded region will not contain the test point; the second and third expressions are correct for the test point $\left( 0,0 \right)$, so the origin will be included for these inequalities. The final graph of the given inequalities is plotted below.
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