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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\ a n d\ a=b^2}dot` Are the following statements true? `(i)\ (a , a) in R\ for\ a l l\ a in N` `(ii)\ (a , b) in R=>(b , a) in R` `(iii)\ (a , b) in R\ and\ (b , c) in R=>(a , c) in R`

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