Given:
The graph of a system of inequalities.
To find:
The ordered pair which is a solution to the graphed inequality.
Solution:
The boundary lines are:
[tex]x-2y=4[/tex]
[tex]2x-y=4[/tex]
From the given graph it is clear that only point (3,1) lies in the shaded region.
Points (2,-1) and (4,0) lie on the boundary line [tex]x-2y=4[/tex] but the boundary line is dotted. It means the points on the line are not in the solution set.
point (0,-1) does not belong to the shaded region.
Therefore, the correct option is A.
