3. In each of the following a relation R is defined on Z. In each case decide whether R is reflexive, symmetric, anti-symmetric and/or transitive. (a) a R b if and only if a > b - 1. (b) a R b if and only if a > b+ 1. (c) a R b if and only if a > 2.
3. In each of the following a relation R is defined on Z. In each case decide whether R is reflexive, symmetric, anti-symmetric and/or transitive. (a) a R b if and only if a > b - 1. (b) a R b if and only if a > b+ 1. (c) a R b if and only if a > 2.
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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