Which point is a solution to the system of inequalities?

Question

y <= 3x - 4

5x + 4y >= 6

1. (A) (0, 0)
2. (B) (-1, 5)
3. (C) (2, -3)
4. (D) (3, 4)

Answer 1

A great way to understand these questions is to think about them graphically, so I've offered a graphical explanation.

Answer 2

A. 0 ≤ 3(0) - 4

0 ≤ 0 - 4

0 ≤ -4

We don't need to check the 2nd equation to see this is not a solution to BOTH.

Keep going. Remember, it has to be a solution to BOTH equations.