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R is a relation on the set Z of integers...

`R` is a relation on the set `Z` of integers and it is given by `(x ,\ y) in RhArr|x-y|lt=1.` Then, `R` is (a) reflexive and transitive (b) reflexive and symmetric (c) symmetric and transitive (d) an equivalence relation

A

reflexive and transitive

B

reflexive and symmetric

C

symmetric and transitive

D

an equivalence relation

Text Solution

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The correct Answer is:
B
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