Which of the options is a solution for the following system of inequalities?

(5,-2)
(0,5)
(0,0)
(0,-5)

The answer would be A. (5,-2)

To get this answer you would need to graph both inequalities and shade the regions that the variables would fall under. Once you do that to both inequalities, any ordered pair that is in the region where both of the inequalities are shaded, then it can be recognized as a solution. 

The only ordered pair that is in the area shaded by both inequalities is (5,-2)

Hope this helped! :)