Question

The point (-2, -1) satisfies which of the following inequalities?

A. 5x - 2y + 1 > 0
B. -5x + 2y + 1 > 0
C. -2x + 5y - 1 > 0
D. 2x + 5y - 1 > 0

Answer 1

B

Explanation:

To solve, we need to know that (-2, -1) is (x, y) respectively.

Plug in -2 to the x values, and -1 to the y values. If the answer is > 0, then you have your answer.

For your problem:

A. 5(-2)-2(-1)+1 = -10+3+1 = -6. This isn't > 0.

B. -5(-2)+2(-1)+1 = 10-2+1 = 9. This is > 0.

C. -2(-2)+5(-1)-1 = 4-5-1 = -2. This isn't > 0.

D. 2(-2)+5(-1)-1 = -4-5-1 = -10. This isn't > 0.

Remember that multiplying two negatives makes a positive.