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 represents a surjective function from U to A? Select one: O a. {(1, c), (2, c), (3, c), (4, c), (5, c), (a, c), (b, c), (c, c)} b. {(1, 4), (2, 3), (3, 2), (4, 1), (a, c), (b, b), (c, a)) c. {(1, 1), (3, 3), (5, c), (2, 2), (4, 4), (c, a), (b, b), (a, b)} d. ((a, 4), (c, c), (5, 1), (3, a), (4, 2), (b, b), (1, 3))

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 13E: 13. Consider the set of all nonempty subsets of . Determine whether the given relation on is...
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QUESTION 19

Kindly answer correctly. Please explain

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 represents a surjective function from U to A?
Select one:
a. {(1, c), (2, c), (3, c), (4, c), (5, c), (a, c), (b, c), (c, c)}
b. {(1, 4), (2, 3), (3, 2), (4, 1), (a, c), (b, b), (c, a)}
c. {(1, 1), (3, 3), (5, c), (2, 2), (4, 4), (c, a), (b, b), (a, b)}
d. {(a, 4), (c, c), (5, 1), (3, a), (4, 2), (b, b), (1, 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 represents a surjective function from U to A? Select one: a. {(1, c), (2, c), (3, c), (4, c), (5, c), (a, c), (b, c), (c, c)} b. {(1, 4), (2, 3), (3, 2), (4, 1), (a, c), (b, b), (c, a)} c. {(1, 1), (3, 3), (5, c), (2, 2), (4, 4), (c, a), (b, b), (a, b)} d. {(a, 4), (c, c), (5, 1), (3, a), (4, 2), (b, b), (1, 3)}
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