Question: Let X be an arbitrary infinite set. We say that a subset A of X is co-finite if its complement A is a finite

Let X be an arbitrary infinite set. We say that a subset

Let X be an arbitrary infinite set. We say that a subset A of X is co-finite if its complement A is a finite subset of X. Let A consists of all the finite and the co-finite subsets of a set X. (a) Show that A is an algebra of subsets of X. (b) Show that A is a o-algebra if and only if X is a finite set.

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