Problem 5. Let A be the set of all ordered pairs of integers, that is, A - ZxZ Define a binary relation R on A as follows: for all (a, b), (c, d) E A, (a, b)R(c, d) a-c and b-d. (a) Is R reflexive? (b) Is R symmetric? c Is f antisymmetric! (d) Is R transitive? (e) Is R an equivalence relation, a partial order, neither, or both? (f) Is R an equivalence relation, a partial order, neither, or both? (g) Illustrate the equivalence classes [(1,3)] and [(3, -1) on a 2D coordi- nate plane Provide detailed justification for your answers