The curve is the solution to
[tex]y\text{ }<\text{ }-\frac{1}{2}x^2\text{ + 4}[/tex]And the line is the solution to
[tex]y\leq\text{ x}[/tex]The point of intersection, is the solution to the system of inequalities
hence the solution is
[tex](2,2)\text{ and (-4, -4)}[/tex]Hence we will pick
(2, 2) as the solution