Which is the graph of linear inequality 2y > x – 2?


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Jun 12th, 2015

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2y > x-2

We observe that this is a strict inequality. Origin (0,0) is a point in the feasible region.

Hence first and fourth figure are ruled out.

Second figure includes the points (0,-1) and (2,0) which is not possible since -2= -2 and not -2>-2

or 0 =0 and not 0 > 0

Third figure excludes (0,-1) and (2,0)  which ensures strict inequality. 

Hence the third figure (with dashed line in the boundary or edge) is the graph for the inequality

 2y > x-2 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 12th, 2015

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