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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.

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