Find if the following relations are reflexive, symmetric, asymmetric, or transitive on the set X. X =
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Question:
Find if the following relations are reflexive, symmetric, asymmetric, or transitive on the set X.
X = {1, 2, 3, 4, 5}
R1 = {(2, 3), (3, 3), (1, 1), (4, 4), (5, 5), (5, 1), (3, 5), (2, 2)}
R2 = {(2, 3), (3, 3), (1, 3), (4, 4), (5, 5)}
R3 = {(3, 3), (2, 2), (1, 1), (4, 1), (5, 4), (2, 1), (3, 4), (3, 5)}
R4 = {(3, 3), (2, 2), (3, 1), (1, 4), (5, 4), (5, 1), (3, 4), (5, 3)}
R5 = {(3, 3), (2, 2), (5, 1), (3, 4), (5, 3)}
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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