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Consider the following set in a divisibility problem. 1. A {3, 4, 12, 24, 48, 72} a) R = {(a, b) | a divides b} b) Draw its digraph. c) Identify the ordered pairs of R = {(a, a) for all a & A.

Consider the following set in a divisibility problem. 1. A {3, 4, 12, 24, 48, 72} a) R = {(a, b) | a divides b} b) Draw its digraph. c) Identify the ordered pairs of R = {(a, a) for all a & A.

Advanced Engineering Mathematics
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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Partial Order set!!!!

PARTIAL ORDER SET Consider the following set in a divisibility problem. 1. A = {3, 4, 12, 24, 48, 72} a) R = {(a, b) | a divides b} b) Draw its digraph. c) Identify the ordered pairs of R = {(a, a) for all a & A. d) Identify the ordered pairs of R = {(a, b) & R and (b, a) & R; a = b. e) Identify the ordered pairs of R = {(a, b) & R and (b, c) & R then (a, c) & R f) Conclusion
Transcribed Image Text:PARTIAL ORDER SET Consider the following set in a divisibility problem. 1. A = {3, 4, 12, 24, 48, 72} a) R = {(a, b) | a divides b} b) Draw its digraph. c) Identify the ordered pairs of R = {(a, a) for all a & A. d) Identify the ordered pairs of R = {(a, b) & R and (b, a) & R; a = b. e) Identify the ordered pairs of R = {(a, b) & R and (b, c) & R then (a, c) & R f) Conclusion
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