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On (A={1,2,3,4,5,6}), (R) has classes ({1,2},{3,4},{5,6}), and (S) has classes ({1,2,3,4},{5,6}). Which statement is correct?

Answer and explanation

Correct answer: (R\subseteq S)

Step 1: (S) merges the two (R)-classes ({1,2}) and ({3,4}) into a larger class. Step 2: Therefore every pair inside an (R)-class remains inside an (S)-class. Step 3: Hence (R\subseteq S).

Related tags

RefinementSubset Of RelationsEquivalence ClassesEquivalence RelationRelations And FunctionsMathematicsClass 12 Mcq

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