Hasse diagram: minimal, least, greatest

[nicnicman]

Homework Statement

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

Homework Equations

The Attempt at a Solution

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?

 

[haruspex]

I agree with your answer. The presence of an element that has no ordering relation with any other means there cannot be a greatest or a least.