Problem 2. Prove or disprove that for all sets A, B, and C, we have (a) Ax (BUC) = (A x B) U (A x C) (b) Ax (BC) = (A× B) - (A× C) 3-2 (c) Ax (BUC) = Ax (BUC) 3-1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 15E
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Problem 2. Prove or disprove that for all sets A, B, and C, we have
(a) Ax (BUC) = (A x B) U (A x C)
(b) Ax (BC) = (A× B) - (A× C)
3-2
(c) Ax (BUC) = Ax (BUC)
3-1
Transcribed Image Text:Problem 2. Prove or disprove that for all sets A, B, and C, we have (a) Ax (BUC) = (A x B) U (A x C) (b) Ax (BC) = (A× B) - (A× C) 3-2 (c) Ax (BUC) = Ax (BUC) 3-1
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