6. Let A, B, and C be sets. Verify the following (you can use a membership table) a) An (BUC) = (ANB) u (ANC) b) (B-A) U (C-A) = (BUC) - A

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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6. Let \( A, B, \) and \( C \) be sets. Verify the following (you can use a membership table):

a) \( A \cap (B \cup C) = (A \cap B) \cup (A \cap C) \)

b) \( (B - A) \cup (C - A) = (B \cup C) - A \)
Transcribed Image Text:6. Let \( A, B, \) and \( C \) be sets. Verify the following (you can use a membership table): a) \( A \cap (B \cup C) = (A \cap B) \cup (A \cap C) \) b) \( (B - A) \cup (C - A) = (B \cup C) - A \)
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