Let S = {2,3,4,5} and consider the poset (S, <=) where <= is the divisibility relation. Which of the following is true?
1. 3 is a minimal element
2. 4 is a greatest element
3. 2 is a least element
4. Both 2 and 3
My answer: 1
In a Hasse diagram 3 and 5 are not connected to anything, and I'm unsure if this affects the answer. Suggestions?