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If a relation has no two pairs where the second element of the first pair equals the first element of the second pair, what can be said about transitivity?

Answer and explanation

Correct answer: It will be transitive

Step 1: The transitive condition becomes active only when pairs like ((a,b)) and ((b,c)) exist. Step 2: If no such connected pairs exist, there is no chance for the condition to fail. So the relation is transitive. Step 3: First search for connected pairs when testing transitivity.

Related tags

Relations FunctionsVacuous TruthTransitive RelationRelations And FunctionsMathematicsClass 12 Mcq

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