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If (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4),(4,4)}), what type of relation is (R)?

Answer and explanation

Correct answer: Transitive

Step 1: ((1,2)) and ((2,3)) require ((1,3)), and ((2,3)) with ((3,4)) requires ((2,4)); both are present. Step 2: ((1,3)) and ((3,4)) require ((1,4)), also present. ((4,4)) creates no new missing pair. Step 3: Find every jump in the long chain.

Related tags

Chain RelationTransitiveHard ListTransitive RelationRelations And FunctionsMathematicsClass 12 Mcq

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