Answered: Exercise 3.4.6. Let A be a non-empty…

Exercise 3.4.6. Let A be a non-empty family of sets and let B be a set. (1) Prove that (U X∈A X)−B = U X∈A(X −B). (2) Prove that (∩ X∈A X)−B = ∩ X∈A(X −B).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 56E

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Exercise 3.4.6. Let A be a non-empty family of sets and let B be a set. (1) Prove that (U X∈A X)−B = U X∈A(X −B).

(2) Prove that (∩ X∈A X)−B = ∩ X∈A(X −B).

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