1. Let A a, b, c, d. Consider the following relation on A: (a) Draw a diagram of R R-(b, b), (b, d), (e, c), (c,d), (d, b), (d.d) (b) Is R reflexive? Justify your answer. (c) Is R symmetric? Justify your answer. (d) Is R transitive? Justify your answer.
1. Let A a, b, c, d. Consider the following relation on A: (a) Draw a diagram of R R-(b, b), (b, d), (e, c), (c,d), (d, b), (d.d) (b) Is R reflexive? Justify your answer. (c) Is R symmetric? Justify your answer. (d) Is R transitive? Justify your answer.
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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![1. Let \( A = \{ a, b, c, d \} \). Consider the following relation on \( A \):
\[ R = \{ (b, b), (b, d), (c, c), (c, d), (d, b), (d, d) \} \]
(a) Draw a diagram of \( R \).
(b) Is \( R \) reflexive? Justify your answer.
(c) Is \( R \) symmetric? Justify your answer.
(d) Is \( R \) transitive? Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c8c5c21-75ec-43df-a11c-eaf8dc741c9d%2F0b5fbc72-aeb7-4f95-933c-90291deeb145%2F6qe0vch_processed.png&w=3840&q=75)
Transcribed Image Text:1. Let \( A = \{ a, b, c, d \} \). Consider the following relation on \( A \):
\[ R = \{ (b, b), (b, d), (c, c), (c, d), (d, b), (d, d) \} \]
(a) Draw a diagram of \( R \).
(b) Is \( R \) reflexive? Justify your answer.
(c) Is \( R \) symmetric? Justify your answer.
(d) Is \( R \) transitive? Justify your answer.
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