To determine which of the given ordered pairs is a solution to the inequality y > x + 5, we will substitute the x and y values from each ordered pair into the inequality and see if it holds true.
The ordered pairs given are:
A = (12, 8)
B = (11, 7)
C = (8, 6)
D = (4, 7)
Let's check each pair one by one:
For pair A = (12, 8), where x = 12 and y = 8:
Is 8 > 12 + 5?
Is 8 > 17?
No, so the pair (12, 8) is NOT a solution to the inequality.
For pair B = (11, 7), where x = 11 and y = 7:
Is 7 > 11 + 5?
Is 7 > 16?
No, so the pair (11, 7) is NOT a solution to the inequality.
For pair C = (8, 6), where x = 8 and y = 6:
Is 6 > 8 + 5?
Is 6 > 13?
No, so the pair (8, 6) is NOT a solution to the inequality.
For pair D = (4, 7), where x = 4 and y = 7:
Is 7 > 4 + 5?
Is 7 > 9?
No, so the pair (4, 7) is also NOT a solution to the inequality.
None of the given ordered pairs satisfy the inequality y > x + 5. If these are indeed all the options provided, then there appears to be an error because none of the ordered pairs is the correct solution to the inequality as given. However, if there is a typo in the inequality or the pairs provided, please consider double-checking the question to ensure accurate information is given.
