Question

Grive
example of Reflexive, Symmforic but
not transitive.
Set A= {1, 2, 3}
R= {1,1),(2,2),(3,3), (1,2) (2,1), (2,3),3,2)
[Is this right ]??
please answee​

Answer 1

Explanation:

{(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)

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