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Let R be a relation from set Q to Q def...

Let R be a relation from set Q to Q defined as:
`R={(a,b):a,b in Q and a -b in Z}`
Prove that
(i) For each `a in Q, (a,a) in R`
`(ii) (a,b) in R implies (b,c) in R` where `a, b in Q`
(iii) `(a,b) in R , (b,c) in R implies (a,c) in R ` , where `a, b ,c in Q`

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