QUESTION 6. L Consider the following relation R on the set A = {1,2,3,4,5} R = {(1, 1), (2, 2), (2,3), (3, 2), (3, 3), (4, 4), (4, 5), (5, 4), (5,5)} Given that R is an equivalence relation on A, which of the following is the partition of A into equivalence classes. Select the correct response. A. P = {{1}, {1, 2}, {3}, {3,4}, {4}, {5}} B. P = {{1,2,3,4,5}} D. P = {{1}, {2,3}, {4,5}} E. P ={{1,2,3}, {4,5}} F. P = {{1}, {2}, {3}, {4}, {5} G. P = {{1,2}, {3}, {4,5}} C. P ={{1,2}, {3,4}, {5}}
QUESTION 6. L Consider the following relation R on the set A = {1,2,3,4,5} R = {(1, 1), (2, 2), (2,3), (3, 2), (3, 3), (4, 4), (4, 5), (5, 4), (5,5)} Given that R is an equivalence relation on A, which of the following is the partition of A into equivalence classes. Select the correct response. A. P = {{1}, {1, 2}, {3}, {3,4}, {4}, {5}} B. P = {{1,2,3,4,5}} D. P = {{1}, {2,3}, {4,5}} E. P ={{1,2,3}, {4,5}} F. P = {{1}, {2}, {3}, {4}, {5} G. P = {{1,2}, {3}, {4,5}} C. P ={{1,2}, {3,4}, {5}}
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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Transcribed Image Text:QUESTION 6. L
Consider the following relation R on the set A = {1,2,3,4,5}
R = {(1, 1), (2, 2), (2,3), (3, 2), (3, 3), (4, 4), (4, 5), (5, 4), (5,5)}
Given that R is an equivalence relation on A, which of the following is the partition of A
into equivalence classes.
Select the correct response.
A. P = {{1}, {1, 2}, {3}, {3,4}, {4}, {5}}
B. P
D={{1,2,3,4,5}}
D. P = {{1}, {2,3}, {4,5}}
E. P ={{1,2,3}, {4,5}}
F. P = {{1}, {2}, {3}, {4}, {5}}
G. P = {{1,2}, {3}, {4,5}}
C. P ={{1,2}, {3,4}, {5}}
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