Question 15. Let R1 be a relation from A = {1,3,5,7} to B = {2,4,6,8} and R2 be another relation from B to C = %3D {1,2,3,4} as defined below i) An element a in A is related to an element b in B (under R,) if a * b is divisible by 3. An element a in B is related to an element b in C(under R2) if a * b is even but not divisible by 3. Which of the composite relation R1R2 from A to C. ii) A. R,R2 = (1,2), (1,4), (3,3), (5,4), (5,6), (7,3) В. О C. R¡R2 = (1,2), (1,6), (3,2), (3,4), (5,4), (7,3) D. R,R2 = {(2,2), (3,2), (3,4), (5,1), (5,3), (7,1)}

Question 15. Let R1 be a relation from A = {1,3,5,7} to B = {2,4,6,8} and R2 be another relation from B to C = %3D {1,2,3,4} as defined below i) An element a in A is related to an element b in B (under R,) if a * b is divisible by 3. An element a in B is related to an element b in C(under R2) if a * b is even but not divisible by 3. Which of the composite relation R1R2 from A to C. ii) A. R,R2 = (1,2), (1,4), (3,3), (5,4), (5,6), (7,3) В. О C. R¡R2 = (1,2), (1,6), (3,2), (3,4), (5,4), (7,3) D. R,R2 = {(2,2), (3,2), (3,4), (5,1), (5,3), (7,1)}

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...

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