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Which ordered pair is a solution to the graphed inequality?

Which ordered pair is a solution to the graphed inequality?-example-1

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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.

User Adamantus
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