6. Let A = {a, b, c, d, e}. Define a relation Ron P(A} by BRC if|B| = |C]. B is related to Cif they have the same cardinality. If R an equivalence relation, answer the following questions. If it is not an equivalence relation, explain why not. (a) How many equivalence classes are there? (b) For each equivalence class, what is the cardinality of that class. (not the cardinality of the elements of the class)
6. Let A = {a, b, c, d, e}. Define a relation Ron P(A} by BRC if|B| = |C]. B is related to Cif they have the same cardinality. If R an equivalence relation, answer the following questions. If it is not an equivalence relation, explain why not. (a) How many equivalence classes are there? (b) For each equivalence class, what is the cardinality of that class. (not the cardinality of the elements of the class)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![6. Let A = {a, b, c, d, e}. Define a relation R on P(A} by BRC if|B| = |C].
B is related to Cif they have the same cardinality. If R an equivalence relation, answer the following questions.
If it is not an equivalence relation, explain why not.
(a) How many equivalence classes are there?
(b) For each equivalence class, what is the cardinality of that class. (not the cardinality of the elements of the
class)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc01f8460-caed-472f-a81b-71765c9566fe%2F3aaed374-0870-4cf6-a3e5-3afceae586b6%2Flssvwm_processed.png&w=3840&q=75)
Transcribed Image Text:6. Let A = {a, b, c, d, e}. Define a relation R on P(A} by BRC if|B| = |C].
B is related to Cif they have the same cardinality. If R an equivalence relation, answer the following questions.
If it is not an equivalence relation, explain why not.
(a) How many equivalence classes are there?
(b) For each equivalence class, what is the cardinality of that class. (not the cardinality of the elements of the
class)
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