Given $X =$ {$1, 2, 3, 4$} and $S = $ {{1, 2}, {2}, ∅, {3, 4}, X} the ordered set through the relation of inclusion $⊂$.
(a) Draw the corresponding Hasse diagram of $S$.
(b) Determine if $S$ is a lattice.
The hasse diagaram would start from the $∅$ element then connected to $1,2,3,4$ all connecting together to make $X$ with inter-connections between them if I am not wrong. But how to determine the lattice exactly?