If R is a symmetric relation on a set A, then write a relation between R and R –1 .

Question

Philoid · Accepted Answer

The relation between R and R^–1 on a Set A is as under:

⇒ R^-1 = {(b,a):(a,b)∈ R}

⇒ Clearly (a,b) ∈ R

⇒ (b,a) ∈ R^-1

i.e Domain(R)=Range(R^-1)

and Domain(R^-1)=Range(R)