An example of a partition of the integers is E Z}
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 5TFE: True or False
Label each of the following statements as either true or false.
Let be an equivalence...
Related questions
Question
![An example of a partition of the
integers is
O U {na : a € Z}
nEN
O {2x : x E Z}U{2x+1:x E
Z}
O {3x : x E Z}U {3x +1: x €
Z}
O U {2"x : x € Z}
nEN](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F521d67fe-e49c-4e6c-b78b-aca80e54aad1%2F0be53f77-829f-438b-8a08-ab6a09bd2724%2Fra6e2if_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An example of a partition of the
integers is
O U {na : a € Z}
nEN
O {2x : x E Z}U{2x+1:x E
Z}
O {3x : x E Z}U {3x +1: x €
Z}
O U {2"x : x € Z}
nEN
![Which of the following is an example of
an equivalence relation?
O x ~y in lR if x <y
O x v y in R if x
– y < 4
-
O x ~ y in Z if xy
y in Z if x = y mod 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F521d67fe-e49c-4e6c-b78b-aca80e54aad1%2F0be53f77-829f-438b-8a08-ab6a09bd2724%2F7580zw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following is an example of
an equivalence relation?
O x ~y in lR if x <y
O x v y in R if x
– y < 4
-
O x ~ y in Z if xy
y in Z if x = y mod 2
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