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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 `{a,a) in R for all a in Q ,`{a,b} in R implies` that `{b,a} in R, {a,b} in R and {b,c} in R implies that {a,c} in R` `

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