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

Let R be a relation from N to N defined by `R={(a,b): a, b in N and a=b^(2)).` Are the following true?
(i) `(a,a) in R," for all " a in N` (ii) `(a,b) in R," implies "(b,a) in R`
(iii) `(a,b) in R, (b,c) in R" implies "(a,c) in R`.
Justify your answer in each case.

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