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Question

The inclusion of which of the following sets into

S = {{1, 2}, {1, 2, 3}, {1, 3, 5}, (1, 2, 4), (1, 2, 3, 4, 5}}

is necessary and sufficient to make S a complete lattice under the partial order defined by set containment ?

a.

{1}

b.

{1}, {2, 3}

c.

{1}, {1, 3}

d.

{1}, {1, 3}, (1, 2, 3, 4}, {1, 2, 3, 5)

Answer: (a).{1}

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Q. The inclusion of which of the following sets into S = {{1, 2}, {1, 2, 3}, {1, 3, 5}, (1, 2, 4), (1, 2, 3, 4, 5}} is necessary and sufficient to make S a complete lattice...

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