Question

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

(0, 5)
(1, 3)
(2, 4)

Answer 1

its the third option (2, 4)

Answer 2

(1,3) and (2,4).

Explanation:

The inequality is
`y > -x^2+5`, so

for (0,5):

`5> -(0)^2+5`

`5> 0+5`

`5>5`, that is false, then (0,5) is not in the solution set of
`y > -x^2+5`.

for (1,3):

`3> -(1)^2+5`

`3> -1+5`

`3>4`, that is false, then (1,3) is not in the solution set of
`y > -x^2+5`.

for (2,4):

`4> -(2)^2+5`

`4> -4+5`

`4>1`, that is true, then (2,4) is in the solution set of
`y > -x^2+5`.