show that the relation R in the set {1,2,3} givwn by R = {(1,2) (2,1)} is symmetic but neither reflexive nor tresitive.

Hello student,

"Reflexive" means that (a, a) is included for every element a in A.
"Symmetric" means that if (a, b) is included, then (b, a) is also included.
"Transitive" means that if (a, b) and (b, c) are included, then (a, c) is also included

In the above given relation R{1,2,3} givwn by R = {(1,2) (2,1)}

If (a, b) is included, then (b, a) is also included

Hence it is only symmetric but not transitive and reflexive

Thanks and Regards

Shaik Aasif

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