Let A be a set. Define a relation on p (A) as follows: For B and C arbitrary subsets of A, B~C iff B\C = Ø. If this is an equivalence relation, select the response that indicates as much. If this is not an equivalence relation, select all of the properties that the relation fails. O Symmetric It is an equivalence relation. Reflexive O Transitive Question 7 5 pts Let A be a set. Define a relation on p (A) as follows: Letting B and C be arbitrary subsets of A, then B~C iff B N C Ø. If ~ is an equivalence relation, select the answer that indicates as much. If ~ is not an equivalence relation, select all of the properties of an equivalence relation that are failed. O No answer text provided. O Symmetric O Transitive O True O Reflexivity
Let A be a set. Define a relation on p (A) as follows: For B and C arbitrary subsets of A, B~C iff B\C = Ø. If this is an equivalence relation, select the response that indicates as much. If this is not an equivalence relation, select all of the properties that the relation fails. O Symmetric It is an equivalence relation. Reflexive O Transitive Question 7 5 pts Let A be a set. Define a relation on p (A) as follows: Letting B and C be arbitrary subsets of A, then B~C iff B N C Ø. If ~ is an equivalence relation, select the answer that indicates as much. If ~ is not an equivalence relation, select all of the properties of an equivalence relation that are failed. O No answer text provided. O Symmetric O Transitive O True O Reflexivity
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...
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Part 1: Let A be a set. Define a relation on as follows:
For B and C arbitrary subsets of A, B~C iff B\C =empty set . If this is an equivalence relation, select the response that indicates as much. If this is not an equivalence relation, select all of the properties that the relation fails.
Part 2: Let A be a set. Define a relation on as follows:
Letting B and C be arbitrary subsets of A, then B~C iff B intersect C not= empty set. If ~ is an equivalence relation, select the answer that indicates as much. If ~ is not an equivalence relation, select all of the properties of an equivalence relation that are failed.
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