In 22-29, find all greatest, least, maximal, and minimal elements for the relation in each of the referenced exercises.
All greatest, least, maximal and minimal elements for the “subset” relation on the set
Maximal, Minimal, Least element.
To find the greatest element, least element maximal and minimal element of , first find the power set of i.e.
Now, draw the Hasse diagram of “subset” relation on .
Now from the Hasse diagram, it is clear that
Greatest element is , because for all is related to
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