Consider the "divides" relation on the set A = {1, 2, 3, 5, 6, 7, 8, 10, 20, 30, 60, 70} (d) Find the greatest element or explain why there is no greatest element. (e) Find the least element or explain why there is no least element. Do only d and e

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
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Consider the "divides" relation on the set A = {1, 2, 3, 5, 6, 7, 8, 10, 20, 30, 60, 70}
(d) Find the greatest element or explain why there is no greatest element.
(e) Find the least element or explain why there is no least element.

Do only d and e

Consider the "divides" relation on the set A = {1, 2, 3, 5, 6, 7, 8, 10, 20, 30, 60, 70}
(a) Draw the Hasse Diagram for this poset.
(b) Find the maximal elements or explain why there are no maximal elements.
(c) Find the minimal elements or explain why there are no minimal elements
(d) Find the greatest element or explain why there is no greatest element.
(e) Find the least element or explain why there is no least element.
Transcribed Image Text:Consider the "divides" relation on the set A = {1, 2, 3, 5, 6, 7, 8, 10, 20, 30, 60, 70} (a) Draw the Hasse Diagram for this poset. (b) Find the maximal elements or explain why there are no maximal elements. (c) Find the minimal elements or explain why there are no minimal elements (d) Find the greatest element or explain why there is no greatest element. (e) Find the least element or explain why there is no least element.
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