Verifying the conditions, it is found that ordered pair (2,5) is a solution to the given system of inequalities.
What is the system of inequalities?
As stated in the problem, it is modeled by:
y ≤ –x2 + 5x
y > x2 – 4
For ordered pair (-1,-1), we have that:
y ≤ –x2 + 5x
-1 ≤ –(-1)2 + 5(-1)
-1 ≤ -6
Which is false.
For ordered pair (0,2), we have that:
y ≤ –x2 + 5x
2 ≤ –(0)2 + 5(0)
2 ≤ 0
Which is false.
For ordered pair (2,5), we have that:
y ≤ –x2 + 5x
5 ≤ –(2)2 + 5(2)
2 ≤ 6
Which is true.
y > x² - 4
5 > 2² - 4
5 > 0
Which is true.
Hence ordered pair (2,5) is a solution to the given system of inequalities.
More can be learned about a system of inequalities at https://brainly.com/question/9774970
