Which of the following points is in the solution set of y > -x^2 + 5?(0, 5)(1, 3)(2, 4)

The inequality is
[tex]y\ \textgreater \ -x^2+5[/tex]

Let's try all the three points to see if they satisfy the equation:
1) (x=0,y=5) --> [tex]5\ \textgreater \ -(0)^2+5=5[/tex] --> not satisfied
2) (x=1,y=3) --> [tex]3\ \textgreater \ -(1)^2+5=1+5=6[/tex] --> not satisfied
3) (x=2,y=4) --> [tex]4\ \textgreater \ -(2)^2+5=-4+5=1[/tex] --> satisfied
so, the only option that satisfies the inequality is (2,4).