1. Let & be the relation of (a,b) la #b] on the set of integers. What is the reflexive closure of R?
1. Let & be the relation of (a,b) la #b] on the set of integers. What is the reflexive closure 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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![W14 Exercise
1. Let & be the relation of (a,b) la #b] on the set of integers.
What is the reflexive closure of R?
2. Let R be the relation of (a,b) la divides b3 on the set of
integers. What is the symmetric closure of R.
3. Find the smallest relation containing the relation of (1,2), (1,4), (3, 3), (4,1)3
defined on
a set A= 1, 2, 3, 43 that reflexive and transitive.
4. Find the smallest setation containing the relation (1,2), (1,4), (3, 3), (4, 17
4. Find the transitive closure of relation R = C (a,c), (b, c), (c, a),(d;b), (e,d)}
on set A: & a, b, c, d, e 3. let say a = 1, b = ²₁ c = 3₁ d = 4₁ e ²5.
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F115d1688-566f-4444-85f9-41e92fc82116%2F5d76e70a-6ffa-4ecf-b056-6182cf032c29%2Fcgnc4bu_processed.png&w=3840&q=75)
Transcribed Image Text:W14 Exercise
1. Let & be the relation of (a,b) la #b] on the set of integers.
What is the reflexive closure of R?
2. Let R be the relation of (a,b) la divides b3 on the set of
integers. What is the symmetric closure of R.
3. Find the smallest relation containing the relation of (1,2), (1,4), (3, 3), (4,1)3
defined on
a set A= 1, 2, 3, 43 that reflexive and transitive.
4. Find the smallest setation containing the relation (1,2), (1,4), (3, 3), (4, 17
4. Find the transitive closure of relation R = C (a,c), (b, c), (c, a),(d;b), (e,d)}
on set A: & a, b, c, d, e 3. let say a = 1, b = ²₁ c = 3₁ d = 4₁ e ²5.
2
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