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1. Let A = {2, 3, 4, 5, 6} and B = {10, 11, 12, 13). Define a relation R on (A x B) as follows: a Rb if and only if gcd(a, b) = 1. a) Write out the elements of the relation R explicitly (remember, R is the set of ordered pairs from (A x B) that satisfy the given property). b) Write out the elements of the relation R¹ explicitly.

1. Let A = {2, 3, 4, 5, 6} and B = {10, 11, 12, 13). Define a relation R on (A x B) as follows: a Rb if and only if gcd(a, b) = 1. a) Write out the elements of the relation R explicitly (remember, R is the set of ordered pairs from (A x B) that satisfy the given property). b) Write out the elements of the relation R¹ explicitly.

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 28E
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1. Let A = {2, 3, 4, 5, 6} and B = {10, 11, 12, 13}. Define a relation R on (A x B) as follows: a Rb if and only if gcd(a, b) = 1. a) Write out the elements of the relation R explicitly (remember, R is the set of ordered pairs from (A x B) that satisfy the given property). b) Write out the elements of the relation R1 explicitly.
Transcribed Image Text:1. Let A = {2, 3, 4, 5, 6} and B = {10, 11, 12, 13}. Define a relation R on (A x B) as follows: a Rb if and only if gcd(a, b) = 1. a) Write out the elements of the relation R explicitly (remember, R is the set of ordered pairs from (A x B) that satisfy the given property). b) Write out the elements of the relation R1 explicitly.
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