You can plug in the values provided to see which make the statement true.
2(-1) + (-1) > -4
-2 - 1 > -4
-3 > -4
This is true!
2(0) + (-5) > -4
-5 > -4
This is not true.
2(4) + (-12) > -4
-4 > -4
This is not true.
2(-3) + 0 > -4
-6 > -4
This is not true.
Only one order pair fits this inequality, and so A. (-1,-1) is the correct answer.
