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15. Define a relation R on the set {-1, 0, 1, 2} by xRy if |x2-y| < 3. Then R is reflexive and transitive, but not symmetric reflexive and symmetric, but not transitive reflexive, symmetric and transitive none of these

15. Define a relation R on the set {-1, 0, 1, 2} by xRy if |x2-y| < 3. Then R is reflexive and transitive, but not symmetric reflexive and symmetric, but not transitive reflexive, symmetric and transitive none of these

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 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...
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15. Define a relation R on the set {-1, 0, 1, 2} by xRy if x² - y < 3. Then R is O reflexive and transitive, but not symmetric reflexive and symmetric, but not transitive reflexive, symmetric and transitive O none of these
Transcribed Image Text:15. Define a relation R on the set {-1, 0, 1, 2} by xRy if x² - y < 3. Then R is O reflexive and transitive, but not symmetric reflexive and symmetric, but not transitive reflexive, symmetric and transitive O none of these
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