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Which statement about the origin \((0,0)\) is correct for the graph of \(x+y>1\)?

Answer and explanation

Correct answer: The origin \((0,0)\) does not lie on the graph because it makes \(x+y>1\) false.

Check the inequality at \((0,0)\):
\[x+y>1\Rightarrow 0+0>1\Rightarrow 0>1,\]
which is false. So \((0,0)\) is not included in the solution region of \(x+y>1\).

Related tags

Linear InequalitiesTwo VariablesGraphical MethodOrigin Test

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