Theorem 5.25. Let A, B, and C be sets. Then 1. A× (B N C) = (A × B) N (A × C) 2. A × (B U C) = (A × B) U (A × C) %3D 3. (AN B) × C = (A × C) N (B × C) %3D
Theorem 5.25. Let A, B, and C be sets. Then 1. A× (B N C) = (A × B) N (A × C) 2. A × (B U C) = (A × B) U (A × C) %3D 3. (AN B) × C = (A × C) N (B × C) %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 17E
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Explain each of them with a easy understanding so people can understand fast and easy.
![Theorem 5.25. Let A, B, and C be sets. Then
1. A× (B N C) = (A × B) N (A × C)
2. A × (B U C) = (A × B) U (A × C)
3. (AN B) × C = (A × C) N (B × C)
%3D
4. (AU B) × C = (A × C) U (B × C)
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e53cf2c-4bf5-4ccd-bd0e-fb990a97eda5%2F4a44c9d2-073b-40de-8b2f-be5866b3c7f1%2Fx1hjlo3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Theorem 5.25. Let A, B, and C be sets. Then
1. A× (B N C) = (A × B) N (A × C)
2. A × (B U C) = (A × B) U (A × C)
3. (AN B) × C = (A × C) N (B × C)
%3D
4. (AU B) × C = (A × C) U (B × C)
%3D
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