Question

Which of the following is a solution of the system

Answer 1

Answer:

Answer B

Step-by-step 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.