1) Let n be a postive integer. Explain why the set A of all integers greater than or equal to -n is well-ordered. (hint: if B is a nonempty subset of A, consider the set C of all integers of the form n + b where b in b)

2) Determine the number of Boolean subalgebras of P(X) if X is the set {1,2,3,4}. How many have exactly two atomic subsets?

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