Q3: Prove that i) Intersection is distributive over union for arbitrary number of sets. ii) Union is distributive over intersection for arbitrary number of sets.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.3: The Field Of Quotients Of An Integral Domain
Problem 6E
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Please prove both (i) and (ii)

 

Q3: Prove that
i)
Intersection is distributive over union for arbitrary number of sets.
ii)
Union is distributive over intersection for arbitrary number of sets.
Transcribed Image Text:Q3: Prove that i) Intersection is distributive over union for arbitrary number of sets. ii) Union is distributive over intersection for arbitrary number of sets.
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