## Give an example of a relation on a set that is a) both symmetric and antisymmetric. b) neither symmetric nor antisymmetric

Relevant definitions: Definition: “A relation R on a set A is called symmetric if (b, a) ∈ R whenever (a,b) ∈ R, for all a,b ∈ A. A relation R on a set A such that for all a, b ∈ A, if (a, b) ∈ R and (b, a) ∈ R, then a = […]