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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 24E
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1. Let A a, b, c, d. Consider the following relation oon 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.
Transcribed Image Text:1. Let A a, b, c, d. Consider the following relation oon 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.
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