- #1

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!