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  3. Mathematics
  4. 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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Q. An integer m is said to be related to another integer n if m is a multiple of n. Then the relation is:

Relations and Functions - Part 2

Solution:

For any integer n, we have $\frac{n}{n} \Rightarrow \, n Rn$
$\therefore \, nRn \, \forall n \in Z \, \Rightarrow R$ is reflexive.
and for any integers m, n and p, we have
$\frac{m}{n}$ and $\frac{n}{p} \, \Rightarrow \, m Rn $ and $nRp$
$\therefore \, mRp \, \forall m ,n , p \in Z \Rightarrow R$ is transitive.