In a poset P({v, x, y, z}, ⊆) which of the following is the greatest element?(a) {v, x, y, z}(b) 1(c) ∅(d) {vx, xy, yz}I had been asked this question in unit test.I'm obligated to ask this question of Graphs in chapter Graphs of Discrete Mathematics

In a poset P({v, x, y, z}, ⊆) which of the following is the greatest

1.	In a poset P({v, x, y, z}, ⊆) which of the following is the greatest element?(a) {v, x, y, z}(b) 1(c) ∅(d) {vx, xy, yz}I had been asked this question in unit test.I'm obligated to ask this question of Graphs in chapter Graphs of Discrete Mathematics
Answer» The CORRECT option is (a) {V, x, y, z} For explanation I would say: We know that, in a Hasse diagram, the maximal ELEMENT(s) are the top and the minimal ELEMENTS are at the bottom of the diagram. In the given poset, {v, x, y, z} is the maximal or greatest element and ∅ is the minimal or least element.

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