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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?

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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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