Let D be a set of dogs, R a set of retrievers, and G a set of golden retrievers. Assume that GCR and that RC D. (a) Suppose we know that all three sets are different. What does this tell you about the existence of specific dogs? (b) Suppose we know that D # G, but that the three sets are not all different. What does this tell you about the existence of specific dogs?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 16E: 16. Let and define on by if and only if . Determine whether is reflexive, symmetric, or...
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Let D be a set of dogs, Ra set of retrievers, and G a set of golden retrievers. Assume that
GCR and that RCD.
(a) Suppose we know that all three sets are different. What does this tell you about the
existence of specific dogs?
(b) Suppose we know that D # G, but that the three sets are not all different. What does
this tell you about the existence of specific dogs?
Transcribed Image Text:Let D be a set of dogs, Ra set of retrievers, and G a set of golden retrievers. Assume that GCR and that RCD. (a) Suppose we know that all three sets are different. What does this tell you about the existence of specific dogs? (b) Suppose we know that D # G, but that the three sets are not all different. What does this tell you about the existence of specific dogs?
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