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In the graph of \(y\geq x\), where does \((2,5)\) lie?

Answer and explanation

Correct answer: Inside the solution region, not on the boundary line

For the point \((2,5)\), substitute \(x=2\) and \(y=5\). Since \(5\geq2\) is true, the point belongs to the solution region. As \(5>2\), it is not on the boundary line \(y=x\); it lies above it. Exam tip: To test a point, substitute its \(x\)- and \(y\)-coordinates directly into the inequality.

Related tags

Linear InequalitiesGraphical SolutionSolution RegionCoordinate PlaneBoundary LineGraphical Solution Of Linear Inequalities In Two VariablesMathematicsClass 11 Mcq

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