Below {Aa}a€I denotes a family of sets. Prove the following statements. (De Morgan's Law) (U4.) = N 45, (N4.)" = U As- %3| aɛI

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 12E: For the sets given in Exercise 9, is there a distributive relationship for intersection with respect...
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Below {Aa}ae1 denotes a family of sets. Prove the following statements.
• (De Morgan's Law)
(UA.) =N 45, (N A.)".
=U 45.
`aɛI
aɛI
aɛI
aɛI
• If BC Aa C C for every a E I. Then
BCN Aa CU Aa C.
Transcribed Image Text:Below {Aa}ae1 denotes a family of sets. Prove the following statements. • (De Morgan's Law) (UA.) =N 45, (N A.)". =U 45. `aɛI aɛI aɛI aɛI • If BC Aa C C for every a E I. Then BCN Aa CU Aa C.
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