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Write inequality shown by shaded region on graph. Line x+y=5

Write inequality shown by shaded region on graph. Line x+y=5-example-1

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Given the line x+y=5, solving for y,


\Rightarrow y=5-x

Notice that, at x=5, the values of y in the shaded region are y=1,2,3,...>0

Therefore,


\Rightarrow y\ge5-x

The inequality whose solution is the shaded region is y>=5-x

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