This exercise is meant to illustrate the point made in the opening paragraph to

Question

This exercise is meant to illustrate the point made in the opening paragraph to Section 3.3. Verily that the following three statements are true if every blank is filled in with the word "finite." Which are true if every blank is filled in with the word "compact." Which are true if every blank is filled in with the word "closed." (a) Every set has a maximum. (b) If A and B are, then A + B = {a + b: a A, b B) is also. (c) If {A_n: n N} is a collection of sets with the property that every finite subcollection has a nonempty intersection, then_n=1^infinity A_n is nonempty as well.

Explanation / Answer

a) Finite

b)Finite , Finite(Closed)

c) Compact

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