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5. Define a relation S from R to R as follows: For all (x,y) ERx R, (x,y) €S means that x > y. a. Is (2,1) € S? b. Is (2,2) € S? c. Is 2 S 3?

5. Define a relation S from R to R as follows: For all (x,y) ERx R, (x,y) €S means that x > y. a. Is (2,1) € S? b. Is (2,2) € S? c. Is 2 S 3?

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 17E: In each of the following parts, a relation R is defined on the power set (A) of the nonempty set A....
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5. Define a relation S from R to R as follows: For all (x,y) E R x R, (x,y) ES means that x > y. a. I (2,1) € S? b. I (2,2) € S? c. Is 2 S 3? d. Is (-1) S (-2)? e. Give an example of the set with at least three elements satisfying the said condition.
Transcribed Image Text:5. Define a relation S from R to R as follows: For all (x,y) E R x R, (x,y) ES means that x > y. a. I (2,1) € S? b. I (2,2) € S? c. Is 2 S 3? d. Is (-1) S (-2)? e. Give an example of the set with at least three elements satisfying the said condition.
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