Question

The graph of 2 x − 5 y = 10 is shown on the grid. Which ordered pair is in the solution set of 2 x − 5 y ≥ 10?

A.(5, 0)
B.(−5, 2)
C.(−2, 5)
D.(0, 5)

Answer 1

The ordered pair (5, 0) is in the solution set of 2x - 5y ≥ 10.

Step-by-step explanation:

To find the solution set of 2x - 5y ≥ 10, we need to determine which ordered pair satisfies this inequality. Let's substitute the given answer choices into the inequality and see which one is true.

1. For choice A, (5, 0): 2(5) - 5(0) = 10 - 0 = 10. Since 10 is greater than or equal to 10, this ordered pair satisfies the inequality.
2. For choice B, (-5, 2): 2(-5) - 5(2) = -10 - 10 = -20. Since -20 is not greater than or equal to 10, this ordered pair does not satisfy the inequality.
3. For choice C, (-2, 5): 2(-2) - 5(5) = -4 - 25 = -29. Since -29 is not greater than or equal to 10, this ordered pair does not satisfy the inequality.
4. For choice D, (0, 5): 2(0) - 5(5) = 0 - 25 = -25. Since -25 is not greater than or equal to 10, this ordered pair does not satisfy the inequality.

Therefore, the only ordered pair in the solution set of 2x - 5y ≥ 10 is (5, 0), which corresponds to option A.