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For any relation (R), which property does (R\cup R^{-1}) always have?

Answer and explanation

Correct answer: symmetry

Step 1: If ((a,b)\in R\cup R^{-1}), it lies in (R) or in (R^{-1}). Step 2: In either case, the reverse pair ((b,a)) lies in the other or same part of the union. Step 3: Therefore (R\cup R^{-1}) is always symmetric.

Related tags

RelationsInverseUnionSymmetricIntroduction To RelationsRelations And FunctionsMathematicsClass 12 Mcq

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