An element a is an minimal element of set S, thena)a ε Sb)a ∉ Sc)a is not lower bound of Sd)a is not upper bound of SCorrect answer is option 'D'. Can you explain this answer?

Question

An element a is an minimal element of set S, thena)a &epsilon; Sb)a &notin; Sc)a is not lower bound of Sd)a is not upper bound of SCorrect answer is option 'D'. Can you explain this answer?

Answer

Is the only element in the set that has the property of being minimal.
b) there are no elements in the set that are smaller than a.
c) a is the largest element in the set.
d) a is the first element in the set.

Answer

If a is minimal it means the elements  in S are greater than 'a'. so 'a' cannot be upper bound.

Answer

a is minimal element of a set S means a is an element of S. If there is one and only one element in set S, then a can be the upper bound and also the minimal element.soisnt the correct answer option a ?

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