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

Let R be a relation from N to N defined by R = {( a , b ): a ,

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