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On the set N of all natural numbers, a r...

On the set `N` of all natural numbers, a relation `R` is defined as follows: `n R m ` Each of the natural numbers `n` and `m` leaves the same remainder less than 5 when divided by 5. Show that `R` is an equivalence relation. Also, obtain the pairwise disjoint subsets determined by `R` .

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