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On (A={1,2,3,4,5}), (R={(1,1),(2,2),(3,3),(4,4),(5,5),(1,2),(2,3),(1,3),(3,5)}). Which pair is necessary to make it transitive?

Answer and explanation

Correct answer: ((1,5))

Step 1: ((1,3)) and ((3,5)) are in the relation. Step 2: Transitivity requires ((1,5)), but it is absent. Step 3: Even if all reflexive pairs are present, missing chain pairs must be checked separately.

Related tags

Reflexive RelationMissing PairTransitive ClosureClass 12Transitive RelationRelations And FunctionsMathematicsClass 12 Mcq

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