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" Let `R` be the relation on the set `Z` of all integers defined by `R={(x, y) : x,y in Z,x-y` is divisible by n}.Prove that
i) `(x, x) in R` for all `x in , Z`
ii) `(x, y) in R rarr(y, x) in R` for all `x, y in Z`
iii) `(x, y) in R` and `(y, z) in R rarr(x, z) in R` for all `x, y, z in Z`"

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