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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. [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
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.) \[ \, \]
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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