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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F471cb0b1-24a7-4f47-a754-0c03ff5b6852%2F25124a9c-0742-4443-bc51-aaf983a4a993%2Fk7rlptv_processed.png&w=3840&q=75)
Transcribed Image Text: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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F471cb0b1-24a7-4f47-a754-0c03ff5b6852%2F25124a9c-0742-4443-bc51-aaf983a4a993%2Fui83ej3h_processed.png&w=3840&q=75)
Transcribed Image Text: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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