Question

Which of the following is a solution of the system

x - 2y < 4 and y > – 2x – 5?

1. (1, - 4)
2. (-8,2)
3. (0,0)
4. (-3,0)

Answer 1

Answer B

Explanation:

1. (1, -4) is NOT a solution because (1) - 2(-4) < 4 is false.

2. (-8, 2): -8 - 2(2) < 4 is true, and in simplified form is -12 < 4 (true) We must check whether this point (-8, 2) ALSO satisfies y > -2x - 5:

2 > -2(-8) - 5. Yes, this is true, so the given point satisfies both inequalities in Answer B.