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Show that the relation R on the set A={1...

Show that the relation `R` on the set `A={1,\ 2,\ 3}` given by `R={(1,\ 2),\ (2,\ 1)}` is symmetric but neither reflexive nor transitive.

Text Solution

Verified by Experts

Here `(1,1)!in R`, `(2,2) !in R` and `(3,3) !in R`
So,it is not reflexive
Similarly,
`(1,2) in R` and `(2,1) in R`
So,
it is symmetric
...
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