Which of the following points is in the solution set of y > -x2 + 5?

Hello!

the inequality is y > -x2 + 5, and the options are (0,5), (1,3) and (2,4) as i see in the coments.

we want to see wich of these options is a solution for our inequality.

remember that the notation is (x,y) so in the pair (0,5) x is equal to 0, and y is equal to 5.

then we replace tis values in the inequality and see if in remains true:

for (0,5)

5 > -0^2 + 5 = 5

5 > 5

this is false, because a number cant be bigger than itself, then (0,5) is not a solution.

for(1,3)

3 > -1^2 + 5 = 4

here again is false, because 3 isnt bigger than 4, then (1,3) is not a solution.

for (2,4)

4 > -2^2 + 5 = -4 + 5 = 1

here 4 > 1, wich is true!

then the pair (2,4) is a solution for our inequality.