3. a. If R is a relation defined from the Set A = {6,12,25,36} to the set B = {3,4,5,6} as follows: R = {(x, y) E Ax B|y divides x} Find the following: i. Relation set of R in roster form. ii. Domain and Range of the relation R. iii. Restriction of R on C, where C = {6,12}. iv. Find the element related to D, Where D = {25,36}. V. Find the matrix form of R.

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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3. a. If R is a relation defined from the Set A = {6,12,25,36} to the set B = {3,4,5,6} as follows:
R = {(x, y) E Ax B|y divides x}
Find the following:
i.
Relation set of R in roster form.
ii.
Domain and Range of the relation R.
iii.
Restriction of R on C, where C = {6,12}.
iv.
Find the element related to D, Where D = {25,36}.
V.
Find the matrix form of R.
Transcribed Image Text:3. a. If R is a relation defined from the Set A = {6,12,25,36} to the set B = {3,4,5,6} as follows: R = {(x, y) E Ax B|y divides x} Find the following: i. Relation set of R in roster form. ii. Domain and Range of the relation R. iii. Restriction of R on C, where C = {6,12}. iv. Find the element related to D, Where D = {25,36}. V. Find the matrix form of R.
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