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Let R be a relation on A = {4, 6, 7, 8} and R = {(4,8), (6, 6), (4, 4), (4, 7), (7,4), (7, 7), (8,4)}. Are the following statements true or false? 1. R is symmetric ? ? ? ? ? ? V 2. R is an equivalence relation 3. R is transitive 4. R is a partial order. 5. R is reflexive 6. R is anti-symmetric 4

Let R be a relation on A = {4, 6, 7, 8} and R = {(4,8), (6, 6), (4, 4), (4, 7), (7,4), (7, 7), (8,4)}. Are the following statements true or false? 1. R is symmetric ? ? ? ? ? ? V 2. R is an equivalence relation 3. R is transitive 4. R is a partial order. 5. R is reflexive 6. R is anti-symmetric 4

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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Let R be a relation on A = {4, 6, 7, 8} and R = {(4,8), (6, 6), (4,4), (4, 7), (7,4), (7, 7), (8,4)}. Are the following statements true or false? 1. R is symmetric ? ? ? ? ? ? V 2. R is an equivalence relation 3. R is transitive 4. R is a partial order. 5. R is reflexive 6. R is anti-symmetric 4
Transcribed Image Text:Let R be a relation on A = {4, 6, 7, 8} and R = {(4,8), (6, 6), (4,4), (4, 7), (7,4), (7, 7), (8,4)}. Are the following statements true or false? 1. R is symmetric ? ? ? ? ? ? V 2. R is an equivalence relation 3. R is transitive 4. R is a partial order. 5. R is reflexive 6. R is anti-symmetric 4
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