Problem: Define the following two relations on the set A = {a, b, c, d}:
R = { (a, d), (b, c), (b, d), (c, b), (d, a), (d, b) }
S = { (a, b), (a, c), (b, d), (c, d) }
Question 1: Write S ο R as a set of one or more ordered pairs. Check the zyBook, Section 5.4, to make sure you get the order correct. What's being asked for is S o R, not R o S.
Question 2: Explain why the relation R is or is not symmetric.
Question 3: Explain why the relation S is or is not transitive.