Question

Which ordered pair is a solution to the graphed inequality?

Answer 1

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:

$x-2y=4$

$2x-y=4$

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 $x-2y=4$ 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.