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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) inR `
(iii) `(a,b) in R and (b,c) in R` implies that `(a,c) in R`

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