Question 35 For the binary relation R (defined below) on A and each tuple (a, 6) indicating that a is related to b, which of the following statements would be true? R= { (0,0), (1, 1), (3, 3), (4, 4) } where A = {0, 1, 2, 3, 4} O none of these options O Ris symmetric but not antisymmetric O Ris antisymmetric but not symmetric Ris neither symmetric nor antisymmetric O Ris both symmetric and antisymmetric

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 35
For the binary relation R (defined below) on A and each tuple (a, b) indicating
that a is related to b, which of the following statements would be true?
R= { (0,0), (1, 1), (3, 3), (4, 4) }
where A = {0, 1, 2, 3, 4}
O none of these options
O Ris symmetric but not antisymmetric
O Ris antisymmetric but not symmetric
Ris neither symmetric nor antisymmetric
O Ris both symmetric and antisymmetric
Transcribed Image Text:Question 35 For the binary relation R (defined below) on A and each tuple (a, b) indicating that a is related to b, which of the following statements would be true? R= { (0,0), (1, 1), (3, 3), (4, 4) } where A = {0, 1, 2, 3, 4} O none of these options O Ris symmetric but not antisymmetric O Ris antisymmetric but not symmetric Ris neither symmetric nor antisymmetric O Ris both symmetric and antisymmetric
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