Let A be a non-empty set and R a relation on A. R is called irreflexive if (aa)ER for all aEA. Let z be the set of integers and R be the relation on Z defined as follows: aRb if and only if a(mod 3) = (b+1) (mod 3).Then O Ris an equivalence relation O Ris not an irreflexive relation and not a reflexive relation Ris an irreflexive relation None of these

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Let A be a non-empty set and Ra relation on A. R is called irreflexive if (a.a)ER for all aEA. Let z
be the set of integers and R be the relation on Z defined as follows: aRb if and only if a(mod 3) =
(b+1) (mod 3).Then
Ris an equivalence relation
Ris not an irreflexive relation and not a reflexive relation
Ris an irreflexive relation
None of these
Transcribed Image Text:Let A be a non-empty set and Ra relation on A. R is called irreflexive if (a.a)ER for all aEA. Let z be the set of integers and R be the relation on Z defined as follows: aRb if and only if a(mod 3) = (b+1) (mod 3).Then Ris an equivalence relation Ris not an irreflexive relation and not a reflexive relation Ris an irreflexive relation None of these
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