The ordered pair (2, -5) is in the solution set of 2x - 5y > 10 since substituting these values satisfies the inequality, resulting in 20 > 10. Option d is the correct choice.
To determine which ordered pair is in the solution set of the inequality 2x - 5y > 10, let's analyze each option:
a. (0, 5):
Substitute the values into the inequality: 2(0) - 5(5) = -25. Since -25 is not greater than \(10\), this point is not in the solution set.
b. (-2, 5):
Substitute: 2(-2) - 5(5) = -20. This point is not in the solution set because -20 is not greater than 10.
c. (-5, 2):
Substitute: 2(-5) - 5(2) = -20. This point is in the solution set since -20 is greater than 10.
d. (2, -5):
Substitute: 2(2) - 5(-5) = 20. This point is in the solution set since 20 is greater than 10.
Therefore, the correct answer is (d) (2, -5), as it satisfies the inequality
2x - 5y > 10. Option d is the correct choice.
Que. The graph of 2x - 5y = 10 is shown on the grid. He у 10 Which ordered pair is in the solution set of 2x - 5y > 10?
a. (0,5)
b. (-2, 5)
c. (-5, 2)
d. (2, -5)