Answer :

Let A = {3,4,5}

Define a relation R on A as R = {(3,4), (4,3)}


Relation R is not reflexive as (3,3), (4,4) and (5,5) R.


Now, as (3,4) ϵ R and also (4,3) ϵ R,


R is symmetric.


(3,4), (4,3) ϵ R, but (3,3) R


R is not transitive.


Therefore, relation R is symmetric but not reflexive or transitive.


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