Question

Give an example of a relation which is symmetric and anti symmetric​

Answer 1

R = { (a,b) | a = b} is an example of a relation of a set that is both symmetric and antisymmetric. It is both symmetric because if (a,b) ∈ R, then (b,a) ∈ R (if a = b). Since (a,b) ∈ R and (b,a) ∈ R if and only if a = b, then it is anti-symmetric.

Answer 2

Answer:

R = { (a,b) | a = b} is an example of a relation of a set that is both symmetric and antisymmetric. It is both symmetric because if (a,b) ∈ R, then (b,a) ∈ R (if a = b). Since (a,b) ∈ R and (b,a) ∈ R if and only if a = b, then it is anti-symmetric.

I HOPE IT WILL HELP U..