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For the system (x+y\le 6), (x\ge 2), (y\ge 3), which vertex is not on the boundary (x+y=6)?

Answer and explanation

Correct answer: ((2,3))

At ((2,3)), (x+y=5), so it is not on (x+y=6). To test a boundary, substitute the point into the equation.

Related tags

Linear InequalitiesVerticesBoundary CheckFeasible RegionGraphical Solution Of Linear Inequalities In Two VariablesMathematicsClass 11 Mcq

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