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Determine if the following statements are true or false. If true, prove them. If false, find a counterexample. (a) An (B\C) = (A \ B) n (A \ C) (b) If Ac C BC, then A C B. (c) (ANB) UC = (AUC) n(BUC).

Determine if the following statements are true or false. If true, prove them. If false, find a counterexample. (a) An (B\C) = (A \ B) n (A \ C) (b) If Ac C BC, then A C B. (c) (ANB) UC = (AUC) n(BUC).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(4) Let A, B, C be subsets of a universal set U. Determine if the following statements are true or false. If true, prove them. If false, find a counterexample. (a) An(B\C) = (A \ B) n (A \ C) (b) If Ac C BC, then AC B. (c) (ANB) UC = (AUC) n(BUC).
Transcribed Image Text:(4) Let A, B, C be subsets of a universal set U. Determine if the following statements are true or false. If true, prove them. If false, find a counterexample. (a) An(B\C) = (A \ B) n (A \ C) (b) If Ac C BC, then AC B. (c) (ANB) UC = (AUC) n(BUC).
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