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On integers, (aRb) if (a+b) is divisible by (2). Which statement is correct?

Answer and explanation

Correct answer: It is an equivalence relation

Step 1: (a+a=2a), so reflexivity holds. Step 2: (a+b) and (b+a) are the same, so symmetry holds. Step 3: If two pairs show the same parity, the first and third also have the same parity.

Related tags

ParityIntegersEquivalence RelationRelations And FunctionsMathematicsClass 12 Mcq

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