Q.10 Give an example of a relation.
(iii) Which is Reflexive and symmetric but not transitive.
Let
Define a relation R on A as
If ,
i.e.
. So it is reflexive.
If ,
and
i.e.
. So it is symmetric.
and
i.e.
. and
But So it is not transitive.
Hence, it is Reflexive and symmetric but not transitive.