Let A, B, C, D be sets. Prove that (a) A × (BN C) = (A × B) N (A × C') (b) (A × B) N (C × D) = (AnC) × (Bn D)
Let A, B, C, D be sets. Prove that (a) A × (BN C) = (A × B) N (A × C') (b) (A × B) N (C × D) = (AnC) × (Bn D)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 50E
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![Let A, B, C, D be sets. Prove that
(a) A x (BnC) = (A × B) N (A × C)
(b) (A × B)n (C × D) = (AnC) × (Bn D)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab213231-dfae-4a22-98f8-48ca7b8d374b%2F0a52bc9a-7775-4e00-a231-ffbf2a7d5c74%2Fy5ftwsc_processed.png&w=3840&q=75)
Transcribed Image Text:Let A, B, C, D be sets. Prove that
(a) A x (BnC) = (A × B) N (A × C)
(b) (A × B)n (C × D) = (AnC) × (Bn D)
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