Suppose U = {1, 2, 3, 4, 5, a, b, c) is a universal set with the subset A = {a, b, c, 1, 2, 3, 4). Which one of the following relations on A is NOT functional? a. {(1, 3), (b, 3), (1, 4), (b, 2), (c, 2)} b. {(a, c), (b, c), (c, b), (1, 3), (2, 3), (3, a)} O c. {(a, a), (c, c), (2, 2), (3, 3), (4,4)} O d. {(a, c), (b, c), (1, 3), (3, 3)}

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 18E: Let (A) be the power set of the nonempty set A, and let C denote a fixed subset of A. Define R on...
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Suppose U = {1, 2, 3, 4, 5, a, b, c) is a universal set with the subset A = {a, b, c, 1, 2, 3, 4).
Which one of the following relations on A is NOT functional?
a. {(1, 3), (b, 3), (1, 4), (b, 2), (c, 2)}
b. {(a, c), (b, c), (c, b), (1, 3), (2, 3), (3, a)}
O
c. {(a, a), (c, c), (2, 2), (3, 3), (4,4)}
O d. {(a, c), (b, c), (1, 3), (3, 3)}
Transcribed Image Text:Suppose U = {1, 2, 3, 4, 5, a, b, c) is a universal set with the subset A = {a, b, c, 1, 2, 3, 4). Which one of the following relations on A is NOT functional? a. {(1, 3), (b, 3), (1, 4), (b, 2), (c, 2)} b. {(a, c), (b, c), (c, b), (1, 3), (2, 3), (3, a)} O c. {(a, a), (c, c), (2, 2), (3, 3), (4,4)} O d. {(a, c), (b, c), (1, 3), (3, 3)}
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