An integer m is said to be related to another | vedclass

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Question

(b) For any integer $n$, we have $n|n \Rightarrow n\,R\,n$

So, $n\,R\,n$ for all $n \in Z \Rightarrow R$ is reflexive

Now $2|6$ but $6+2,==>

Vedclass · Accepted Answer

Reflexive and transitive

Vedclass · Answer

(b) For any integer $n$, we have $n|n \Rightarrow n\,R\,n$

So, $n\,R\,n$ for all $n \in Z \Rightarrow R$ is reflexive

Now $2|6$ but $6+2,==> (2,6)$$ \in R$ but $(6, 2)$ $
ot \in R$

So, $R$ is not symmetric.

Let $(m,n) \in R$ and $(n,p) \in R$.

Then  $\left. {\begin{array}{*{20}{c}}
  {(m,n) \in R \Rightarrow m|n} \ 
  {(n,p) \in R \Rightarrow n|p} 
\end{array}} ight] \Rightarrow m|p \Rightarrow (m,p) \in R$

So, $R$ is transitive.

Hence, $R$ is reflexive and transitive but it is not symmetric.

An integer $m$ is said to be related to another integer $n$ if $m$ is a multiple of $n$. Then the relation is

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