Answer :

Let us take A = {1, 2, 3}

A relation R is defined on set A as R = {(1,2), (2,1)}


It is seen that (1,1), (2,2), (3,3) R.


Therefore, R is not reflexive.


Now, we can see that (1,2) ϵ R and (2,1) ϵ R


Therefore, R is symmetric.


And now, (1,2), (2,1) ϵ R


But, (1,1) R


Therefore, R is not transitive.


Therefore, R is symmetric but neither reflexive, nor transitive.


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