State the reason for the relation `R` on the set {1, 2, 3} given by `R={(1,\ 2),\ (2,\ 1)}` not to be transitive.

Answer

(1,1) is not present

Explanation

For a Relation to be transitive

if `(a,b) in R` and` (b,c) in R `

then ` EE (a,c) in R `


As in the given relation R,
`(1,2) and (2,1) in R`

but `(1,1) notin R`.

hence, it is not transitive.