(2, -4) → x = 2, y = -4
Put the coordinates of the point to the inequality.
y < x - 2 → -4 < 2 - 2 → -4 < 0 TRUE
y ≥ -x -4 → -4 ≥ -2 - 2 → -4 ≥ -4 TRUE
Answer:
[tex]\left\{\begin{array}{ccc}y<x-2\\y\geq-x-4\end{array}\right[/tex]
You can check other systems.
(2) y > x - 2 → -4 > 2 - 2 → -4 > 0 FALSE
(3) y ≤ -x - 4 → -4 ≤ -2 - 4 → -4 ≤ -6 FALSE
(4) y > x - 2 → -4 > 2 - 2 → -4 > 0 FALSE
