Let C = D = {-3, -2, -1, 1, 2, 3) and define a relation S from G to D as follows: For all (x, y) E C x D, (x, y) = R means that 1/x-1/y is an integer. 1. a. Is 2 S 2? b. Is -1 S-1? c. Is (2, 2) € S? d. Is (2,-2) E S?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...
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Let C = D= {{-3, -2, -1, 1, 2, 3} and define a relation S from G to D as follows:
l'or all (x, y) e C x D, (x, y) e R means that 1/x – 1/y is an integer.
1. a. Is 2 S 2?
b. Is -1 S-1?
c. Is (2, 2) E S?
d. Is (2, -2) E S?
2. Write S as a set of ordered pair.
3. Write the domain and co-domain of S.
4. Draw an arrow diagram for S. (Place your figure at the back of this test paper.)
Transcribed Image Text:Let C = D= {{-3, -2, -1, 1, 2, 3} and define a relation S from G to D as follows: l'or all (x, y) e C x D, (x, y) e R means that 1/x – 1/y is an integer. 1. a. Is 2 S 2? b. Is -1 S-1? c. Is (2, 2) E S? d. Is (2, -2) E S? 2. Write S as a set of ordered pair. 3. Write the domain and co-domain of S. 4. Draw an arrow diagram for S. (Place your figure at the back of this test paper.)
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