Question: are all reflexive relations symmetric?
Answer: Reflexive: A relation R on a set A is called reflexive if (a,a) ∈ R for every element a ∈ A. Symmetric: A relation R on a set A is called symmetric if (b,a) ∈ R whenever (a,b) ∈ R for all (a,b) ∈ A. ... Show that R is reflexive, anti symmetric, and transitive.