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Which statement is correct about the graphical representation of the inequality \(x+2y>4\)?

Answer and explanation

Correct answer: The boundary line will be dashed and the solution region will not contain the origin.

Since the sign is \(>\), the boundary \(x+2y=4\) is excluded, so it is dashed. Testing the origin gives \(0+2(0)>4\), or \(0>4\), which is false; hence its side is not shaded. Exam tip: use a solid line only when equality is included.

Related tags

Linear InequalitiesGraphical SolutionBoundary LineTest PointCoordinate GeometryGraphical Solution Of Linear Inequalities In Two VariablesMathematicsClass 11 Mcq

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