## Precalculus (6th Edition) Blitzer

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.