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
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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.  .......... (PLEASE ELABORATE ON WHY THE GIVEN HASSE DIAGRAM IS CORRECT< IF NOT WHY AND WHAT IS THE CORRECT ONE?)

(b)
30
60
20
10
70
15
14
6
|
3 5 7
Figure 3: 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, 10 and 70, 7 and 14, 14 and 70.
Transcribed Image Text:(b) 30 60 20 10 70 15 14 6 | 3 5 7 Figure 3: 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, 10 and 70, 7 and 14, 14 and 70.
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