6. Find all elements of the equivalence class of 12 under congruence modulo 5.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 3E: a. Let R be the equivalence relation defined on Z in Example 2, and write out the elements of the...
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![6. Find all elements of the equivalence class of 12 under congruence modulo 5.
7. Let (a, b), (c, d) E R2. Define a relation ~on R² by
(a, b)~ (c,d) if 2a - b = 2c - d.
(a) Show that is an equivalence relation.
(b) Find the equivalence class of (0.1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd597ffd2-5c4b-4c2e-8332-77ce1607dac1%2F963c71a7-1dc5-41cb-990c-eb70a54fb6b1%2Fjyfqwwt_processed.png&w=3840&q=75)
Transcribed Image Text:6. Find all elements of the equivalence class of 12 under congruence modulo 5.
7. Let (a, b), (c, d) E R2. Define a relation ~on R² by
(a, b)~ (c,d) if 2a - b = 2c - d.
(a) Show that is an equivalence relation.
(b) Find the equivalence class of (0.1).
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