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On (A={1,2,3,4}), (R={(1,4),(4,1),(2,3),(3,2),(1,2)}). What is the minimum number of pairs to add to make it symmetric?

Answer and explanation

Correct answer: (1)

Step 1: ((1,4)) with ((4,1)) is complete, and ((2,3)) with ((3,2)) is also complete. Step 2: The reverse of ((1,2)), namely ((2,1)), is missing. Step 3: Adding just ((2,1)) makes the relation symmetric.

Related tags

Symmetric RelationMin PairsOrdered Pair CompletionRelations And FunctionsMathematicsClass 12 Mcq

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