Activity 1. A Relation as a Subset Let A = {1,2} and B = (x, y) E Ax B, {1,2,3} and define a relation R from A to B as follows: Given any (x, y) ER means that is an integer x-y A. State explicitly which ordered pairs are in A X B and which are in R. B. Is 1 R 3? Is 2 R 3? Is 2 R 2? What are the domain and co-domain of B2

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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Let  and  and define a relation R  from A to B as follows: Given any

 

                         means that  is an integer

 

  1. State explicitly which ordered pairs are in A X B and which are in R.
  2. Is ? Is ?  Is
  3. What are the domain and co-domain of R?

 

 

Activity 1. A Relation as a Subset
Let A {1,2) and B =
X,y) E Ax B,
{1,2,3) and define a relation R from A to B as follows:: Given any
(x, y) ER means that
is an integer
A. State explicitly which ordered pairs are in A X B and which are in R.
B. Is 1 R 3? Is 2 R 3? Is 2 R 2?
C. What are the domain and co-domain of R?
w
Transcribed Image Text:Activity 1. A Relation as a Subset Let A {1,2) and B = X,y) E Ax B, {1,2,3) and define a relation R from A to B as follows:: Given any (x, y) ER means that is an integer A. State explicitly which ordered pairs are in A X B and which are in R. B. Is 1 R 3? Is 2 R 3? Is 2 R 2? C. What are the domain and co-domain of R? w
Activity 1. A Relation as a Subset
Let A {1,2) and B =
X,y) E Ax B,
{1,2,3) and define a relation R from A to B as follows:: Given any
(x, y) ER means that
is an integer
A. State explicitly which ordered pairs are in A X B and which are in R.
B. Is 1 R 3? Is 2 R 3? Is 2 R 2?
C. What are the domain and co-domain of R?
w
Transcribed Image Text:Activity 1. A Relation as a Subset Let A {1,2) and B = X,y) E Ax B, {1,2,3) and define a relation R from A to B as follows:: Given any (x, y) ER means that is an integer A. State explicitly which ordered pairs are in A X B and which are in R. B. Is 1 R 3? Is 2 R 3? Is 2 R 2? C. What are the domain and co-domain of R? w
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