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

1.	Let R be a relation from N to N defined by R = {(a, b) : a,bϵN and a=b2}. Are the following statements true ? (i) (a,a)ϵR for all aϵN (ii) (a,b)ϵR⇒(b,a)ϵR. (iii) (a,b)ϵR and (b,c)ϵR⇒(a,c)ϵR.
Answer» Let R be a relation from N to N defined by R = {(a, b) : $a, b ϵ N$ and $a = b^{2}$ }. Are the following statements true ? (i) $(a, a) ϵ R$ for all $a ϵ N$ (ii) $(a, b) ϵ R \Rightarrow (b, a) ϵ R .$ (iii) $(a, b) ϵ R$ and $(b, c) ϵ R \Rightarrow (a, c) ϵ R .$

Let R be a relation from N to N defined by R = {(a, b) : a,bϵN and a=b2}. Are the following statements true ? (i) (a,a)ϵR for all aϵN (ii) (a,b)ϵR⇒(b,a)ϵR. (iii) (a,b)ϵR and (b,c)ϵR⇒(a,c)ϵR.

Answer»

Let R be a relation from N to N defined by R = {(a, b) : $a, b ϵ N$ and $a = b^{2}$ }.

Are the following statements true ?

(i) $(a, a) ϵ R$ for all $a ϵ N$

(ii) $(a, b) ϵ R \Rightarrow (b, a) ϵ R .$

(iii) $(a, b) ϵ R$ and $(b, c) ϵ R \Rightarrow (a, c) ϵ R .$