First slide
Relations XII

An integer m is said to be related to another integer n 

if m is a multiple of n. Then the relation is


For any integer n, we have n|nnRn

So, nRn for all nZR is reflexive

Now 2|6 but 6+2(2, 6)R but 6, 2R

So, R is not symmetric.

Let (m, n)R and (n, p)R.

Then (m, n)Rm|n                                m|p(m, p)R (n, p)Rn|p

So, R is transitive.

Hence, R is reflexive and transitive but it is not symmetric.

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