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Does the point \((2,3)\) satisfy the inequality \(x+y<5\)?

Answer and explanation

Correct answer: No

For the point \((2,3)\), \(x+y=2+3=5\). Thus, the inequality becomes \(5<5\), which is false. Since this is a strict inequality, equality is not included, so the point does not satisfy it. In exams, carefully distinguish between \(<\) and \(\leq\).

Related tags

Linear InequalitiesStrict InequalityPoint TestCoordinate GeometryAlgebraic Solution Of Linear Inequalities In One VariableMathematicsClass 11 Mcq

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