Answer
See graph and explanations.
Work Step by Step
Step 1. Based on the given conditions, we can write the first inequality as $x+y\leq2$ shown with the red shaded area.
Step 2. The second inequality is $y\geq x^2-4$, shown with the blue shaded area in the figure.
Step 3. The overlapping area (appears in purple) shows the solution for both inequalities.
