Question

Given R is a relation from A = {1,2,3,4,5}, R={(1,1),(2,2),(2,3),(2,4),(3,3),(4,4),(4,5)}.

Is R an equivalence relation?

Answer 1

Since $(2,3) \in R$ , but $(3,2) \notin R$ then R is not a symmetric relation, and therefore is not an equivalence relation.

Answer: No