Answer :

False

Let R = {(1, 1), (1, 2), (2, 1), (3, 3)} be a relation defined on set A= {1,2,3}


Now,


R is not reflexive (2,2) R.


R is symmetric (1,2) R (2,1) R


R is transitive (1,2) R and (2,1) R (1,1) R.


Thus, It is not true that every relation which is symmetric and transitive is also reflexive.


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