Which linear inequality is represented by the graph?

label Algebra
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Jun 12th, 2015

Thank you for the opportunity to help you with your question!

The line on the edge passes through  (-1/2,0) and (0,1)

Slope of the line is (1-0)/(0-(-1/2)) =2

The equation of the line is y-1 =2(x-0)

Or

y=2x+1

Hence first, second and fourth options are ruled out.

We are interested in y > 2x+1

It must exclude these points.

Thus

Y > 2x+1

Third option is correct.


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Jun 12th, 2015

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