#5 discrete mathematics

relation is R? Problem 4-A relation R is defined on A = the set of all people by: (a, b) e R if and only if a and b have, at some time, lived in the same country Determine whether R is reflexive, symmetric, antisymmetric or transitive. Is R an equivalence relation? Is R a partial order? Problem 5-A relation R is defined on set A = { 1, 2, 3, 4, 5 } by R = { (1,1), (2, 2), (3,3), (4, 4), (5, 5), (1,5), (5, 1), (2, 5), (5, 2), (1,2), (2, l) } Prove that R is an equivalence relation. List the equivalence class of each element of A. Does the set of equivalence classes form a partition of A