Question

Which ordered pair does not satisfy the system 2x + y > 0 and -2x - y > -8?
A. (3,-2)
B. (2,3)
C.(-1,4)
D. (-1,-1)

Answer 1

from inequality 1 y > -2x
from inequality 2 y < -8 + 2x
find when the y's are equal

Answer 2

Plug in each order pair into the inequalities
A (3,-2) 2(3) + (-2) > 0 and -2(3) - (-2) > -8
6 - 2 >0 -6 + 4 > -8
4>0 -2>-8


D(-1,-1) 2(-1) + (-1) > 0 and -2(-1) - (-1) > -8
-2 + -1 >0 2 - -1 > -8
-3 is NOT > 0 3> -8

Answer 3

Thank you @Germylew I did not think to plug in the numbers...