3. Let A, B, C be sets. Provide a proof or a counterexample for each of the following statements. a. (An B) x C = (AXC) n(BxC) b. (A x B) n (C x D) = (ANC) x (BMD)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.4: Solving Combined Inequalities
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3. Let A, B, C be sets. Provide a proof or a counterexample for each of the following statements.
a. (An B) x C = (AXC) n(BxC)
b. (A x B) n (C x D) = (ANC) x (BMD)
Transcribed Image Text:3. Let A, B, C be sets. Provide a proof or a counterexample for each of the following statements. a. (An B) x C = (AXC) n(BxC) b. (A x B) n (C x D) = (ANC) x (BMD)
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