A relation R on a nonempty set S is called sequential if for every sequence a, b, c of
Chapter 11, Problem 9(choose chapter or problem)
A relation R on a nonempty set S is called sequential if for every sequence a, b, c of elements of S (distinct or not) at least one of the ordered pairs (a, b) and (b, c) belongs to R. If R is a symmetric, sequential relation on the set S = {x, y, z}, which of the following is true? (a) R is an equivalence relation. (b) It is impossible to determine whether R is an equivalence relation.
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