QUESTION 9 Let A={1,2,3,4} and the relation R={(1,1), (2,2), (3,4), (4,3), (4,4)}. Select the properties of the relation R: O Antisymmetric O Transitive O Reflexive O Symmetric O None of the proposed answers

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 1E: Complete the proof of Theorem 5.30 by providing the following statements, where and are arbitrary...
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QUESTION 8
Let A=Z and R ={(x,y) EA×A; x=y+1 or x=y – 1}
Select the properties of R:
Antisymmetric
Reflexive
Transitive
Symmetric
None of the above answers
QUESTION 9
Let A={1,2,3,4} and the relation R={(1,1), (2,2), (3,4), (4,3), (4,4)}.
Select the properties of the relation R:
O Antisymmetric
Transitive
Reflexive
Symmetric
None of the proposed answers
Transcribed Image Text:QUESTION 8 Let A=Z and R ={(x,y) EA×A; x=y+1 or x=y – 1} Select the properties of R: Antisymmetric Reflexive Transitive Symmetric None of the above answers QUESTION 9 Let A={1,2,3,4} and the relation R={(1,1), (2,2), (3,4), (4,3), (4,4)}. Select the properties of the relation R: O Antisymmetric Transitive Reflexive Symmetric None of the proposed answers
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