Answer :
The inequality given is y ≤ x - 6.
To determine which ordered pair is in the solution set of this inequality, we need to check each pair by substituting the x and y values into the inequality.
Let's evaluate each ordered pair:
A (5, -4):
- Substituting x = 5 and y = -4 into the inequality y ≤ x - 6:
- (-4) ≤ (5) - 6
- -4 ≤ -1
- This statement is false, so (5, -4) is not in the solution set.
B (-2, -5):
- Substituting x = -2 and y = -5 into the inequality y ≤ x - 6:
- (-5) ≤ (-2) - 6
- -5 ≤ -8
- This statement is true, so (-2, -5) is in the solution set.
C (9, 1):
- Substituting x = 9 and y = 1 into the inequality y ≤ x - 6:
- 1 ≤ 9 - 6
- 1 ≤ 3
- This statement is true, so (9, 1) is in the solution set.
D (-8, 3):
- Substituting x = -8 and y = 3 into the inequality y ≤ x - 6:
- 3 ≤ -8 - 6
- 3 ≤ -14
- This statement is false, so (-8, 3) is not in the solution set.
Therefore, the ordered pairs that are in the solution set of y ≤ x - 6 are B (-2, -5) and C (9, 1).
