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Unformatted text preview: Assume, x ∈ [(A – B) – C]. So, x ∈ A, but x ∉ B and x ∉ C. B – C is a subset of B. X ∉ B, therefore, x ∉ (B – C). Hence x ∉ A – (B – C) Therefore, (A – B) – C = (A – C) – (B – C). 3. a. Prove that for any sets A and B, P(A) U P (B) ⊆ P(A U B) b. Find an example of two sets A and B, such that, P(A) U P(B) = P (A U B) c. Find an example of two sets A and B, such that, P(A) U P(B) P (A U B) ≠...
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This note was uploaded on 03/05/2011 for the course MATH 290 taught by Professor Alligood,k during the Fall '08 term at George Mason.
 Fall '08
 Alligood,K
 Advanced Math, Sets

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