Problem 1. (5 points) Let R and S be the following relations on B = {a, b, c, d}: R = {(a, a), (a, c), (c, b), (c, d), (d, b) S = {(b, a), (c, c), (c, d), (d, a)} Find the following compositions on B: (a) R S, (b) S R, (c) R R, (d) S S

Problem 2 (5 points) Let R be the relation on A = {2, 3, 4, 5, 6} defined by "x is relatively prime to y", i.e. the only positive divisor of x and y is 1. Write R as a set of ordered pairs.