Which of the following is a solution of 4x + 2y ≤ 6?

A. (0, 4)

B. (5, 0)

C. (5, 7)

D. (1, 0)

D. (1,0)

Step-by-step explanation:

Just plug in each coordinate for x and y into 4x+2y and see which one is less than or equal to 6.

Lets go through all of the possible answers:

A. (0,4)

4 (0) + 2 (4) ≤ 6

0 + 8 ≤ 6

8 ≤ 6

This is false. 8 is not less than or equal to 6.

B. (5,0)

4 (5) + 2 (0) ≤ 6

20 + 0 ≤ 6

20 ≤ 6

This is false. 20 is not less than or equal to 6.

C. (5,7)

4 (5) + 2 (7) ≤ 6

20 + 14 ≤ 6

34 ≤ 6

This is false because 35 is not less than or equal to 6

D. (1,0)

4 (1) + 2 (0) ≤ 6

4 + 0 ≤ 6

4 ≤ 6

This is true, because 4 is less than 6.