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What is the position of the point ((6,1)) in the region (x+y\le 10), (x+2y\ge 8), (x\ge 0), (y\ge 0)?

Answer and explanation

Correct answer: On the second boundary

At ((6,1)), (x+2y=8) and (x+y=7\le 10), so it lies on the second boundary. To identify a boundary point, check equality.

Related tags

Linear InequalitiesPoint PositionBoundaryFeasible RegionGraphical Solution Of Linear Inequalities In Two VariablesMathematicsClass 11 Mcq

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