Let A = {a, b, c, d} and define a relation R on A as follows: R = {(a, a), (b, b), (b, d), (c, c), (d, b), (d, d)}. It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R. [a] [b] = [c] = [d] = How many distinct equivalence classes does R have? classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
Let A = {a, b, c, d} and define a relation R on A as follows: R = {(a, a), (b, b), (b, d), (c, c), (d, b), (d, d)}. It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R. [a] [b] = [c] = [d] = How many distinct equivalence classes does R have? classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
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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Let A = {a, b, c, d} and define a relation R on A as follows:
R = {(a, a), (b, b), (b, d), (c, c), (d, b), (d, d)}.
It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R.
How many distinct equivalence classes does R have?
List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
![Let \( A = \{a, b, c, d\} \) and define a relation \( R \) on \( A \) as follows:
\[ R = \{(a, a), (b, b), (b, d), (c, c), (d, b), (d, d)\}. \]
It is a fact that \( R \) is an equivalence relation on \( A \). Use set-roster notation to write the equivalence classes of \( R \).
\[ [a] = \, \]
\[ [b] = \, \]
\[ [c] = \, \]
\[ [d] = \, \]
How many distinct equivalence classes does \( R \) have?
\[ \, \text{classes} \]
List the distinct equivalence classes of \( R \). (Enter your answer as a comma-separated list of sets.)
\[ \, \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddb57a32-2247-47a5-9d55-8c5fe5ac9cfb%2F312d84b2-19c5-4901-90b6-8bafa118c9e0%2Fjwmn6qm_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( A = \{a, b, c, d\} \) and define a relation \( R \) on \( A \) as follows:
\[ R = \{(a, a), (b, b), (b, d), (c, c), (d, b), (d, d)\}. \]
It is a fact that \( R \) is an equivalence relation on \( A \). Use set-roster notation to write the equivalence classes of \( R \).
\[ [a] = \, \]
\[ [b] = \, \]
\[ [c] = \, \]
\[ [d] = \, \]
How many distinct equivalence classes does \( R \) have?
\[ \, \text{classes} \]
List the distinct equivalence classes of \( R \). (Enter your answer as a comma-separated list of sets.)
\[ \, \]
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