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What are the vertices of the solution region of (3x+y\leq 6), (x-y\geq 0), (y\geq 0)?

Answer and explanation

Correct answer: ((0,0)), ((2,0)), ((\frac{3}{2},\frac{3}{2}))

The condition (x-y\geq 0) gives (y\leq x), and its intersection with (3x+y=6) is ((\frac{3}{2},\frac{3}{2})). Exam tip: Reading the region is easier after rewriting inequalities.

Related tags

Linear InequalitiesVerticesSystem GraphClass 11Graphical Solution Of Linear Inequalities In Two VariablesMathematicsClass 11 Mcq

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