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).
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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