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mr_coffee
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confused on the "divides" relation, find all greatest, least, maximal, minal elememen
Hello everyone I'm not sure how I'm suppose to do this...
The problem is the following:
Find all greatest, least, maximal, minimal elemnts for the relations.
It says to find that on exercise 16b. I looked at 16b. and it says:
Consider the "divides" relation on each of the following sets A. Draw the Hasse diagram for each relation.
b. A = {2,3,4, 6, 8, 9, 12, 18}
Well i looked up divides relation and its defined as the following:
a|b if and only if b = ka for some integer k.
Im not sure how figure anything out with that definition but maybe I'm missing somthing.
in part a of this problem, htey found the following hasse diagram if this helps any:
A = {1,2,4,5,10,15,20}
20
4 10 15
2 5
1
20 connects to 4 and 10
4 connects to 2, 2 connects to 1
10 connects to 5 and 5 connects to 15 and 1
i have no idea how they got this either, any explanation would be great!
Hello everyone I'm not sure how I'm suppose to do this...
The problem is the following:
Find all greatest, least, maximal, minimal elemnts for the relations.
It says to find that on exercise 16b. I looked at 16b. and it says:
Consider the "divides" relation on each of the following sets A. Draw the Hasse diagram for each relation.
b. A = {2,3,4, 6, 8, 9, 12, 18}
Well i looked up divides relation and its defined as the following:
a|b if and only if b = ka for some integer k.
Im not sure how figure anything out with that definition but maybe I'm missing somthing.
in part a of this problem, htey found the following hasse diagram if this helps any:
A = {1,2,4,5,10,15,20}
20
4 10 15
2 5
1
20 connects to 4 and 10
4 connects to 2, 2 connects to 1
10 connects to 5 and 5 connects to 15 and 1
i have no idea how they got this either, any explanation would be great!