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
icon
Related questions
Question
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,