Answer :

Let R = {(x,y): x + y =10, x,y N } be a relation defined on N.


R = {(1,9),(2,8),(3,7),(4,6),(5,5),(6,4),(7,3),(8,2),(9,1)}


Now,


R is not reflexive (2,2) R.


R is symmetric (3,7) R (7,3) R


R is not transitive (1,9) R and (9,1) R but (1,1) R.


Thus, R is symmetric but not reflexive not transitive.


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