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13) Let A = {2, 3, 4, 5, 6, 7, 8} and define a relation R on A as follows: for all x, y € A, хRy+3| (x—у). a) Is 7 R 2? b) Is 13 R 4? c) Is 2 R 5? d) Is 8 R 8?

13) Let A = {2, 3, 4, 5, 6, 7, 8} and define a relation R on A as follows: for all x, y € A, хRy+3| (x—у). a) Is 7 R 2? b) Is 13 R 4? c) Is 2 R 5? d) Is 8 R 8?

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 12E: Let and be lines in a plane. Decide in each case whether or not is an equivalence relation, and...
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13) Let A = {2, 3, 4, 5, 6, 7, 8} and define a relation R on A as follows: for all x, y € A, х Ry3| (x-у). a) Is 7 R 2? b) Is 13 R 4? c) Is 2 R 5? d) Is 8 R 8?
Transcribed Image Text:13) Let A = {2, 3, 4, 5, 6, 7, 8} and define a relation R on A as follows: for all x, y € A, х Ry3| (x-у). a) Is 7 R 2? b) Is 13 R 4? c) Is 2 R 5? d) Is 8 R 8?
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