Question

I NEED HELP :_( Which of the following points is in the solution set of y > -x∧2 + 5? (0, 5) (2, 4) (1, 3)

Answer 1

Answer:

$\huge\boxed{(2;\ 4)}$

Step-by-step explanation:

We have

$y>-x^2+5$

Put the coordinates of the given points and check the inequality:

For (0; 5) → x = 0; y = 5

$5>-0^2+5\\5>0+5\\5>5\qquad\bold{FALSE}$

For (2; 4) → x = 2, y = 4

$4>-2^2+5\\4>-4+5\\4>1\qquad\bold{TRUE}$

For (1; 3) → x = 1, y = 3

$3>1^2+5\\3>1+5\\3>6\qquad\bold{FALSE}$