Problem 6.3. Show that for any sets A, B, C the following equalities hold: (1) A × (BUC) = (A × B) U (A × C), (2) (BUC) × A = (B × (3) A x (BNC) = (4) (BNC) × A = A) U (C x A), (A × B) n (A × C'), (B × A) n (C × A).

Problem 6.3. Show that for any sets A, B, C the following equalities hold: (1) A × (BUC) = (A × B) U (A × C), (2) (BUC) × A = (B × (3) A x (BNC) = (4) (BNC) × A = A) U (C x A), (A × B) n (A × C'), (B × A) n (C × A).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.6: Inequalities

Problem 80E

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Question

Problem 6.3. Show that for any sets A, B, C the following equalities
hold:
(1) A × (BUC) = (A × B) U (A × C),
(2) (BUC) × A = (B ×
(3) A x (BNC) =
(4) (BNC) × A =
A) U (C x A),
(A × B) n (A × C'),
(B × A) n (C × A).

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