Question

Which ordered pair is a solution to the inequality 7x – 3y > 10? O (1,2) O (1,0) 0 (3, 4) 0 (1, - 1)​

Answer 1

The solution to the inequality 7x – 3y > 10 is the ordered pair (1,0).

Step-by-step explanation:

To find which ordered pair is a solution to the inequality 7x – 3y > 10, we need to test each option by substituting the values into the inequality and checking if the inequality is true.

1. For O (1,2): 7(1) – 3(2) = 7 - 6 = 1, which is not greater than 10.
2. For O (1,0): 7(1) – 3(0) = 7, which is greater than 10. Therefore, O (1,0) is a solution.
3. For O (3,4): 7(3) – 3(4) = 21 - 12 = 9, which is not greater than 10.
4. For O (1, -1): 7(1) – 3(-1) = 7 + 3 = 10, which is not greater than 10.

Therefore, the ordered pair (1,0) is a solution to the inequality 7x – 3y > 10.

Answer 2

Step-by-step explanation:

7(3) - 3(4) > 10

21 - 12 > 10

9 > 10

0 > -1