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10-07-homework-3 - ∩ B i ⊆(u i ∈ I A i ∩(u i ∈ I...

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Sets and Logic — Fall 2011 due Wednesday, 10/12/11 Homework #3 If you turn in your homework on Monday or on Tuesday (before 5pm), I will grade it and return it to you on Wednesday. 1 Suppose that { A i | i I } and { B i | i I } are indexed families of sets. a. Prove that u i I ( A i
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Unformatted text preview: ∩ B i ) ⊆ (u i ∈ I A i ) ∩ (u i ∈ I B i ) . b. Construct an example where the two sets above are not equal. 2 Prove that for every integer n , 21 | n iF 3 | n and 7 | n . 3 Prove that u ( F ∪ G ) = ( u F ) ∪ ( u G )....
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