Which pair (x, y) satisfies simultaneously x - y ≤ 2 and x + y ≥ 6?

• A. (6, -1)
• B. (0, 3)
• C. (10, -4)
• D. (4, 2)

Answer: (D)

This tests finding a pair that satisfies two linear inequalities at once: x - y ≤ 2 and x + y ≥ 6. For the pair (4, 2), x - y = 4 - 2 = 2, which meets the first condition, and x + y = 4 + 2 = 6, which meets the second. So this pair works. Other options fail one of the inequalities: (6, -1) gives x - y = 7, not ≤ 2; (0, 3) gives x + y = 3, not ≥ 6; (10, -4) gives x - y = 14, not ≤ 2. Therefore, (4, 2) is the correct pair.