Question

7. Given set A={1,2,3) and a relation R ={(1,2),
(2,1)), the relation R will be​

Answer 1

Answer:

Set ={1,2,3}

R={(1,2)(2,1)}

If relation is reflexive.

then (a,a) ϵ R for all a ϵ {1,2,3}

as (1,1) ∈

/

R

so , R is not reflexive

If relation is symmetric

then (a, b) & (b, a) ϵ R

Here (1,2) & (2,1) ϵ R

So, R is symmetric

If relation is transitive

then (a ,b) ϵ R & (b,c) ϵ r → (a,c) ϵR

Here (1, 2) & (2, 1) ϵ R but (1,1) ∈

/

R

So, R is not transitive.