give an example of a relation which is symmetric reflexive and transistive.(1 mark question)
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Let us consider the relation R={(1,1),(2,2),(3,3),(1,3),(3,1),(2,3),(3,2)} on the set A={1,2,3}.
This relation is reflexive since (x,x)∈R, ∀x∈A.
Again this relation is symmetric since (x,y)∈R⇒(y,x)∈R, ∀x,y∈A.
But the relation is not transitive as (2,3)∈R,(3,1)∈R but (2,1)
∈R.
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