hw2fa00 - COT3100C-01, Fall 2000 S. Lang 1. Assigned:...

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COT3100C-01, Fall 2000 Assigned: 9/14/2000 S. Lang Assignment #2 (40 pts.) Due: 9/26, by 1:10 pm in class 1. (6 pts.) The following Venn diagram shows three sets A , B , and C contained within a universe set named U . In the diagram, different subsets (regions) are labeled by the numbers 1 through 8. Thus, set A contains subsets labeled 1, 2, 4, and 5; set B contains subsets labeled 2, 3, 5, and 6; set C contains subsets labeled 4, 5, 6, and 7; set U contains subsets labeled 1 through 8 (i.e., the universe). Now, give the labels (i.e., numbers) of the subsets that are contained in each of the following sets: 2. (24 pts.) Prove each of the following statements (a) – (f), assuming the symbols A , B , and C represent sets. You are allowed to use appropriate definitions, and the following theorems and laws ( but only these ) in the proof. Be sure to explain each step of your proof. (Commutative Law) A B = B A , A B = B A . (Associative Law) (
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hw2fa00 - COT3100C-01, Fall 2000 S. Lang 1. Assigned:...

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