Question

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

Answer 1

Its the third option (2, 4)

Answer 2

Answer:

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

Step-by-step 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 $y > -x^2+5$.