Final answer:
The solution to the inequality y = -x + 5 is the ordered pair (-3, 8), which makes the answer D. The x-value is plugged into the equation to check if the resulting y-value matches those in the ordered pairs presented.
Step-by-step explanation:
The question asks which ordered pair is a solution to the inequality y = -x + 5. To find the correct ordered pair, we need to plug in the x-value of each pair into the equation to see if the resulting y-value matches the one given in the pair.
- A. (2, 6): Plugging in x = 2, we get y = -2 + 5 = 3, which does not match the y-value in the pair (6).
- B. (0, 6): Plugging in x = 0, we get y = -0 + 5 = 5, which does not match the y-value in the pair (6).
- C. (1, 6): Plugging in x = 1, we get y = -1 + 5 = 4, which does not match the y-value in the pair (6).
- D. (-3, 8): Plugging in x = -3, we get y = -(-3) + 5 = 3 + 5 = 8, which matches the y-value in the pair (8), making D the correct answer.
Therefore, the solution to the inequality is the ordered pair D. (-3, 8).