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ven a binary relation R (defined below) on A. Each tuple (a, 6) indicates that G ial relation A on A is the relation that contains (a, a), Va E A. Notice, th ve closure of R. ne cardinality of the difference between the relation A on A and the R below? Ir e size of the set Ra

ven a binary relation R (defined below) on A. Each tuple (a, 6) indicates that G ial relation A on A is the relation that contains (a, a), Va E A. Notice, th ve closure of R. ne cardinality of the difference between the relation A on A and the R below? Ir e size of the set Ra

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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please send correct answer Q32

Question 32 You are given a binary relation R(defined below) on A. Each tuple (a, b) indicates that a is related to b The special relation A on A is the relation that contains (a, a), Va E A. Notice, that A UR is the reflexive closure of R. What is the cardinality of the difference between the relation A on A and the R below? In other words, what is the size of the set A \ R? R = { (0,2), (0, 5), (0, 6), (1,0), (1, 1), (1, 4), (1, 5), (2, 1), (2, 2), (2, 4), (2, 5), (3, 2), (3, 3), (4, 1), (4, 6), (5, 0), (5, 3), (5, 4), (5, 6), (6, 0), (6, 1), (6, 2), (6, 3) } where A = {0, 1, 2, 3, 4, 5, 6} 3. none of these options 6. 4
Transcribed Image Text:Question 32 You are given a binary relation R(defined below) on A. Each tuple (a, b) indicates that a is related to b The special relation A on A is the relation that contains (a, a), Va E A. Notice, that A UR is the reflexive closure of R. What is the cardinality of the difference between the relation A on A and the R below? In other words, what is the size of the set A \ R? R = { (0,2), (0, 5), (0, 6), (1,0), (1, 1), (1, 4), (1, 5), (2, 1), (2, 2), (2, 4), (2, 5), (3, 2), (3, 3), (4, 1), (4, 6), (5, 0), (5, 3), (5, 4), (5, 6), (6, 0), (6, 1), (6, 2), (6, 3) } where A = {0, 1, 2, 3, 4, 5, 6} 3. none of these options 6. 4
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