Let R be a relation on the set of binary strings B = {0, 1}¹ U {0, 1}² such that aRb if and only if the string a contains the string b. Find R. For each of the following questions, justify your answer if yes, or give a counterexample if no. • Is R reflexive? Is R symmetric? • Is R anti-symmetric? Is R transitive?

Let R be a relation on the set of binary strings B = {0, 1}¹ U {0, 1}² such that aRb if and only if the string a contains the string b. Find R. For each of the following questions, justify your answer if yes, or give a counterexample if no. • Is R reflexive? Is R symmetric? • Is R anti-symmetric? Is R transitive?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 28E

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