The following is the Hasse diagram of the poset [{a,b,c,d,e},≺]
The poset is :
if any subset contains above structures, then it is not a distributive lattice.
we know given hasse diagram is lattice and it containing above structue so it is not distributive. B
Is it a lattice?
http://uosis.mif.vu.lt/~valdas/PhD/Kursinis2/Sasao99/Chapter2.pdf
Option B is appropriate for it.
It is lattice bcz both LUB and GLB exist for each pair of the vertex in above Hasse diagram.
But It not Distributed bcz there exist more than complement of element.So it ever be Boolean algebra.
@Paras Nath given Hasse diagram is totally different from poset i think given reation is not '<' (less than ) it is other relation defined according to hasse diagram
Gatecse