Question

Which point on the graph below is included in the solution to the following system of equations?

y > 2/3x + 1
5x + 6y ≤ -30

Answer 1

D(-7,-2)

Explanation:

A(-4,3) B(5,-1) C(-2,-6) D(-7,-2)

A: 5×(-4) + 6×3 = -2 ≥ -30 ..... No

B: 2/3×5 + 1 =4.33 ≥ -1 ....No

C: -6 ≤ 2/3×-2 +1 ....No

D: 2/3×(-7)+1 = 2.333 ≤ -2

5×(-7) + 6×(-2) = -47 ≤ -30 ......Yes