The ordered pair that is not a solution of the system of inequalities is the one in option D (1, 7).
Which of the following ordered pairs is not a solution of the system?
Here we have the system of inequalities:
y > x² - 4x-5
y < -x² - 5x+6
If at least one of the inequalities is false for the given ordered pairs, then the ordered pair is not a solution for the system.
Then we only need to evaluate all the ordered pairs on the given inequalities and see when we have one that is false.
If you look at the pair D (1, 7) and we evaluate that on the second inequality, we get:
7 < (1)² - 5*1 + 6
7 < -2
This is false, then (1, 7) is not a solution of the sytem.
The correct option is D.
If you want to learn more about systems of inequalities:
https://brainly.com/question/9774970
#SPJ1
