Suppose U = {b, {c, 3}, 3, 4, {4, 5}, 5} is a universal set with the following subsets: A = {{c, 3}, 3, {4, 5}}, B = {b, {c, 3}, 4, 5} and C = {b, 3, 4, 5}. Let S = {(b, 3), (b, 4), (b, 5), (4, 5), (3, 4)} be a relation on set C. Which one of the following statements regarding S is true?
A. If (5, 3) is added to S, S would satisfy trichotomy.
B. S is a strict total order.
C. S is a weak partial order.
D. If (5, 3) is added to S, it would make S transitive.
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2021-08-04T16:26:52-0400
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