Unformatted text preview: a and b are even or a and b are odd. 4. (10 pts.) Prove that for all sets A and B , if A ⊆ B then P ( A ) ⊆ P ( B ). 5. (10 pts.) Prove that for all sets A , B , and C , ( A ∪ B ) ∩ C ⊆ A ∪ ( B ∩ C ). 6. (10 pts.) Let A = { A α : α ∈ Δ } be an indexed family of sets. Prove that if there exists a set B such that for all α ∈ Δ, A α ⊆ B , then [ α ∈ Δ A α ⊆ B ....
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 Fall '08
 Alligood,K
 Advanced Math, Integers, pts, Natural number

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