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Let R be a.relation from Q to Q defined ...

Let `R` be `a`.relation from `Q` to `Q` defined by `R={(a, b): a, b in Q` and `a-b in Z }.` Show that
i) `(a, a) in R` for all `a in Q`
ii) `(a, b) in R` implies that `(b, a) in R`
iii) `(a, b) in R` and `(b, c) in R` implies that `(a, c) in R .`

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