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Let n be a fixed positive integer. De...

Let `n` be a fixed positive integer. Define a relation `R` on Z as follows: `(a , b)R a-b` is divisible by `ndot` Show that `R` is an equivalence relation on `Zdot`

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Here, `R = {(a,b):a,b in R and (a-b)` is divisible by `5n}`
For all `a in R`,
`=> (a-a) =0` and `0` is divisible by `5`.
`:. R` is refexive.
Since in `R` for every `(a,b) in R`
`=> (a-b)` is divisible by `n`.
...
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