Question

Help im super confused on this question

Answer 1

⦿ (7, 2)

Explanation:

Try each solution in both inequalities and see which solution makes both inequalities true.

4x + 2y > 8

x - y ≥ 2

A. (2, 4)

4(2) + 2(4) > 8

16 > 8 True

2 - 4 ≥ 2

-2 ≥ 2 False

B. (4, 0)

4(-4) + 2(0) > 8

-16 > 8 False

C. (7, 2)

4(7) + 2(2) > 8

32 > 8 True

7 - 2 ≥ 2

5 ≥ 2 True

D. (1, -3)

4(1) + 2(-3) > 8

-2 > 8 False

Answer: C.