Question

Which ordered pair does not satisfy the system 2x + y > 0 and -2x - y > -8?

(3, -2)
(2, 3)
(-1, 4)
(-1, -1)

Answer 1

It seems 8-y > 2x > -y and therefore the only pair that does not satisfy this is (-1, -1 )

Answer 2

Step1: Draw the line y>2x, and shadow the area above the line
Step 2: Draw the line y < -2x + 8, and shadow the left side of the line.
Step 3: See if the point (-1,-1), or (-1, 4), is inside the common zone.