we have the line
2x + y = -4
the solution of the inequality 2x + y ≤ -4
is the shaded area below the solid line 2x + y = -4
therefore
Verify each ordered pair
A) (2, 2) -----> is not on the shaded area
B) (2, -2) -----> is not on the shaded area
C) (-2, -2) -----> is a solution
D) (-2, 2) -----> is not on the shaded area
therefore