Which is the definition of a symmetric relation? x~yy~x for all x, y E X. xx for all x € X. O O O O O x~yy~ x for some x, y = X. x~y and y~xx~x for all x, y = X. None of the above
Which is the definition of a symmetric relation? x~yy~x for all x, y E X. xx for all x € X. O O O O O x~yy~ x for some x, y = X. x~y and y~xx~x for all x, y = X. None of the above
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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![Which is the definition of a symmetric relation?
о x ~ y⇒ y ~ x for all x, y ¤ X.
xx for all x € X.
о
O
x ~ y⇒ y ~ x for some x, y ≤ X.
x~y and y~ x ⇒ x ~x for all x, y ≤ X.
None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea7bbfe4-f0d9-4343-839c-f9e5c129de8e%2F942df36a-c723-4f1c-b931-e6f7bba89db6%2F48clz3b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which is the definition of a symmetric relation?
о x ~ y⇒ y ~ x for all x, y ¤ X.
xx for all x € X.
о
O
x ~ y⇒ y ~ x for some x, y ≤ X.
x~y and y~ x ⇒ x ~x for all x, y ≤ X.
None of the above
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