Question

I need help with this math question. Thanks! Which of the following is a solution of 4x + 2y < 6 A. (5, 7) B. (0, 4) C. (1, 0) D. (1, 0)

Answer 1

C., D. (they are the same point)

Explanation:

4x + 2y < 6

A. (5, 7)

4(5) + 2(7) = 20 + 14 = 34

34 > 6, so A. is not an answer.

B. (0, 4)

4(0) + 2(4) = 0 + 8 = 8

8 > 6, so B. is not an answer

C. (1, 0)

4(1) + 2(0) = 4 + 0 = 5

4 < 6 is true, so C. is an answer.

D. (1, 0)

Why is D. the same as C.?