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Which point lies on the boundary line of \(3x+2y\leq 12\)?

Answer and explanation

Correct answer: \((2,3)\)

The boundary line of the inequality is \(3x+2y=12\). Substituting \((2,3)\) gives \(3(2)+2(3)=6+6=12\), so this point lies on the boundary line. For \((3,2)\), the value is \(13\), so it is not on the line. Exam tip: To test a boundary point, replace the inequality sign with an equality sign.

Related tags

Linear InequalitiesBoundary LineCoordinate GeometryGraphical SolutionSubstitutionGraphical Solution Of Linear Inequalities In Two VariablesMathematicsClass 11 Mcq

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