Determine whether Relation `R` on the set `Z` of all integer defined as `R={(x ,\ y): (x-y) =i n t e g e r}` is reflexive, symmetric or transitive.

Explanation

`R={(x,y):x−y`is an integer`}`


Now, for every` x∈Z,(x,x)∈R as x−x=0` is an integer.



`\therefore `R is reflexive.



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