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14. a. Let R be the relation of congruence modulo 3. Which of the following equivalence classes are equal? [7], [-4], [-6], [17], [4], [27], [19] b. Let R be the relation of congruence modulo 7. Which of the following equivalence classes are equal? [35], [3], [-7], [12], [0], [-2], [17]

14. a. Let R be the relation of congruence modulo 3. Which of the following equivalence classes are equal? [7], [-4], [-6], [17], [4], [27], [19] b. Let R be the relation of congruence modulo 7. Which of the following equivalence classes are equal? [35], [3], [-7], [12], [0], [-2], [17]

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 4E: 4. Let be the relation “congruence modulo 5” defined on as follows: is congruent to modulo if...
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14. a. Let R be the relation of congruence modulo 3. Which of the following equivalence classes are equal? [7], [-4], [-6], [17], [4], [27], [19] b. Let R be the relation of congruence modulo 7. Which of the following equivalence classes are equal? [35], [3], [-7], [12], [0], [-2], [17]
Transcribed Image Text:14. a. Let R be the relation of congruence modulo 3. Which of the following equivalence classes are equal? [7], [-4], [-6], [17], [4], [27], [19] b. Let R be the relation of congruence modulo 7. Which of the following equivalence classes are equal? [35], [3], [-7], [12], [0], [-2], [17]
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