Let A = {0, 1, 2, 3}, and define a relation R₂ on A as follows: R₂ = {(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3)}. (a) Which of the following is the directed graph of R₂? 0 (b) Is R2 reflexive? Justify your answer. Yes because when m = any integer ✓ then (m, m) E (c) Is R₂ symmetric? Justify your answer. Yes because 1, 2 V (1, R2 and ? ✓ 1 ? ✓ R2. (d) Is R2 transitive? Justify your answer. No because (0, 3 ✓ EV R2 and (1,?) ? R2, and ' ?v 2 ? R2. © } (N) Co
Let A = {0, 1, 2, 3}, and define a relation R₂ on A as follows: R₂ = {(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3)}. (a) Which of the following is the directed graph of R₂? 0 (b) Is R2 reflexive? Justify your answer. Yes because when m = any integer ✓ then (m, m) E (c) Is R₂ symmetric? Justify your answer. Yes because 1, 2 V (1, R2 and ? ✓ 1 ? ✓ R2. (d) Is R2 transitive? Justify your answer. No because (0, 3 ✓ EV R2 and (1,?) ? R2, and ' ?v 2 ? R2. © } (N) Co
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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