4x+y>-6
y>-4x-6
Then:
(-1,-1)
if x=-1; and y=-1
-1>-4(-1)-6
-1>4-6
-1>-2;
(-1,-1) is a solution for this in-equation.
(0,-9)
0>-4(-9)-6
0>36-6
0>30 this is not true, therefore (0,-9) is not a solution.
(4,-20)
-20>-4(4)-6
-20>-16-6
-20>-22 This is true, therefore (4,-20) is a solution.
(2,0)
0>-4(2)-6
0>-8-6
0>-14 This is true, therefore (2,0) is a solution.
(-3,6)
6>-4(-3)-6
6>12-6
6>6 This is not true, therefore (-3,6) is not a solution for this in-equality.
Answer: The next pairs are solutions to this inequality: (-1,-1) , (4,20), (2,0).