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

y>-x²+5

taking(0, 5)

5>-0²+5

5>5 false

taking 2,4

4>-2²+5

4>-4+5

4>1 true

taking 1,3

3>-1²+5

3>6false

so 2,4 is your answer

Answer 2

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

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}`