4. Construct the Hasse Diagram of the following posets: a.) ({1,2,3,6,12,24},|) b.) ({2,3,4,5,6,30,60},|) c.) ({2,4,6,12,24,36},|) d.) (P({a, b, c, d}),≤) e.) R = {(a, a),(a, c), (a, b), (a, e), (d, d), (d, b), (d, e), (c, c), (c, e), (b, b), (b, e), (e, e)} (Show the step by step procedure of making Hasse Diagram)

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.1: Sets, Statements, And Reasoning
Problem 55E
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4. Construct the Hasse Diagram of the following posets:
a.) ({1,2,3,6,12,24},|)
b.)
({2,3,4,5,6,30,60},|)
c.) ({2,4,6,12,24,36},|)
d.) (P({a, b, c, d}),≤)
e.) R = {(a, a),(a, c), (a, b), (a, e), (d, d), (d, b), (d, e), (c, c), (c, e), (b, b), (b, e), (e, e)}
(Show the step by step procedure of making Hasse Diagram)
Transcribed Image Text:4. Construct the Hasse Diagram of the following posets: a.) ({1,2,3,6,12,24},|) b.) ({2,3,4,5,6,30,60},|) c.) ({2,4,6,12,24,36},|) d.) (P({a, b, c, d}),≤) e.) R = {(a, a),(a, c), (a, b), (a, e), (d, d), (d, b), (d, e), (c, c), (c, e), (b, b), (b, e), (e, e)} (Show the step by step procedure of making Hasse Diagram)
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