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Every poset that is a complete semilattice must always be a _______

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Every poset that is a complete semilattice must always be a _______

(a) sublattice

(b) complete lattice

(c) free lattice

(d) partial lattice

This question was addressed to me in class test.

I would like to ask this question from Graphs topic in chapter Graphs of Discrete Mathematics

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The correct answer is (b) complete lattice

The explanation is: A poset is called a complete lattice if all its subsets have both a join and a meet. Every complete lattice is a bounded lattice.  Every poset that is a complete semilattice must always be a complete lattice.

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