Final answer:
The ordered pair (-3, 2) is in the solution set of the inequality 3x - y ≤ 9.
Step-by-step explanation:
To determine which ordered pair is in the solution set of the inequality 3x - y ≤ 9, we need to substitute the x and y values of each ordered pair into the inequality and check if the resulting statement is true or false.
Let's substitute the x and y values from each option into the inequality:
A. (6, 0): 3(6) - 0 ≤ 9 → 18 - 0 ≤ 9 → 18 ≤ 9 (false)
B. (5, 2): 3(5) - 2 ≤ 9 → 15 - 2 ≤ 9 → 13 ≤ 9 (false)
C. (8, -2): 3(8) - (-2) ≤ 9 → 24 + 2 ≤ 9 → 26 ≤ 9 (false)
D. (-3, 2): 3(-3) - 2 ≤ 9 → -9 - 2 ≤ 9 → -11 ≤ 9 (true)
Therefore, the ordered pair (-3, 2) is in the solution set of the inequality.