Question

Which ordered pair is included in the solution set to the following system?

y < x^2 + 3
y > x^2 – 2x + 8

(–4, 2)
(0, 6)
(1, 12)
(4, 18)

Answer 1

So this one is kind of similar right

Answer 2

For this one, a good strategy is to plug in the (x, y) values into each equation then simplify to check to see if it is true.

If both equations are true, then that coordinate would be your answer

Answer 3

ohhhh

Answer 4

how do i know if both equations are true

Answer 5

For example, to test out (-4, 2)
you would replace the x with -4
and replace the y with 2

y < x^2 + 3
would become
2 < (-4)^2 + 3
which simplifies like this
2 < 16 + 3
2 < 19 which is true

Then do the same thing with
y > x^2 – 2x + 8
is
2 > (-4)^2 - 2(-4) + 8 true?

Answer 6

wait so how do i know if it is true

Answer 7

2 < 19 is true because 2 is actually less than 19

Answer 8

2 > (-4)^2 - 2(-4) + 8
simplify the right side

Answer 9

ohhh yah

Answer 10

wait so then that one would be true

Answer 11

actually im going to sub all of them that way I know I have the right one

Answer 12

this is the way