Question

Which of the following ordered pair is the solution to the inequality 5x - 2y >3?

A. (-1,0)
B.(1,2)
C.(2,1)
D.(0,0)​

Answer 1

To determine which ordered pair is a solution to the inequality 5x - 2y > 3, we can substitute the x and y values into the inequality and check if the inequality holds true. The solutions to the inequality 5x - 2y > 3 are (1,2) and (2,1). The correct answer is C.(2,1).

Step-by-step explanation:

To determine which ordered pair is a solution to the inequality 5x - 2y > 3, we can substitute the x and y values into the inequality and check if the inequality holds true.

Let's test each ordered pair:

1. For (-1,0), substituting x = -1 and y = 0 into the inequality gives 5(-1) - 2(0) = -5, which is not greater than 3. So (-1,0) is not a solution.
2. For (1,2), substituting x = 1 and y = 2 into the inequality gives 5(1) - 2(2) = 5 - 4 = 1, which is greater than 3. So (1,2) is a solution.
3. For (2,1), substituting x = 2 and y = 1 into the inequality gives 5(2) - 2(1) = 10 - 2 = 8, which is greater than 3. So (2,1) is a solution.
4. For (0,0), substituting x = 0 and y = 0 into the inequality gives 5(0) - 2(0) = 0, which is not greater than 3. So (0,0) is not a solution.

Therefore, the solutions to the inequality 5x - 2y > 3 are (1,2) and (2,1). The correct answer is B.(1,2) and C.(2,1).