In Exercises 33-46, sketch the graph (and label the vertices) of the solution set of the system of inequalities. $$\left\{\begin{aligned} x^{2}+y & \leq 7 \\ x & \geq-2 \\ y & \geq 0 \end{aligned}\right.$$
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Step 1
This is a parabola that opens upwards and has its vertex at $(0,7)$. We can plot a few points on this parabola, such as $(1,6)$, $(2,3)$, and $(-2,3)$. Show more…
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In Exercises 33-46, sketch the graph (and label the vertices) of the solution set of the system of inequalities. $$\left\{\begin{array}{l}{x > y^{2}} \\ {x< y+2}\end{array}\right.$$
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In Exercises 33-46, sketch the graph (and label the vertices) of the solution set of the system of inequalities. $$\left\{\begin{array}{l}{x < y-y^{2}} \\ {0 < x+y}\end{array}\right.$$
In Exercises 33-46, sketch the graph (and label the vertices) of the solution set of the system of inequalities. $$\left\{\begin{array}{l}{x-y^{2}>0} \\ {x-y>2}\end{array}\right.$$
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