Consider the partial order with domain {3,5,6,7,10,14,20,30,60,70} and with x≤y if x evenly divides y.Select the correct Hasse diagram for the partial order 607030201410||357(c)Figure 4: A Hasse diagram shows a set of elements 3; 5; 6; 7; 10; 14; 20; 30; 60, 70.There are lines connecting 3 and 6, 6 and 30, 30 and 60, 5 and 10, 10 and 30, 10 and 20, 20and 60, 20 and 70, 7 and 14, 14 and 70. 607030201461037(d)Figure 5: A Hasse diagram shous a set of elements 3; 5; 6; 7; 10; 14; 20; 30; 60, 70.There are lines connecting 3 and 6, 6 and 30, 30 and 60, 5 and 10, 10 and 30, 10 and 20, 20and 30, 20 and 60, 10 and 70, 7 and 14, 14 and 70.LO

in the diagram as shown below there is a relation between 20 and 70 which in incorrect as 20 do not dives 70 evenly so this is not the correct Hasse diagram . therefore, the correct Hasse Diagram is as shown below

Answered: Consider the partial order with domain…

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Consider the partial order with domain {3,5,6,7,10,14,20,30,60,70} and with x≤y if x evenly divides y. Select the correct Hasse diagram for the partial order

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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Question

Consider the partial order with domain {3,5,6,7,10,14,20,30,60,70} and with x≤y if x evenly divides y.

Select the correct Hasse diagram for the partial order

60
70
30
20
14
10
|
|
3
5
7
(c)
Figure 4: A Hasse diagram shows a set of elements 3; 5; 6; 7; 10; 14; 20; 30; 60, 70.
There are lines connecting 3 and 6, 6 and 30, 30 and 60, 5 and 10, 10 and 30, 10 and 20, 20
and 60, 20 and 70, 7 and 14, 14 and 70.

60
70
30
20
14
6
10
3
7
(d)
Figure 5: A Hasse diagram shous a set of elements 3; 5; 6; 7; 10; 14; 20; 30; 60, 70.
There are lines connecting 3 and 6, 6 and 30, 30 and 60, 5 and 10, 10 and 30, 10 and 20, 20
and 30, 20 and 60, 10 and 70, 7 and 14, 14 and 70.
LO

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