Identify the theorems and/or identities that justify each step in the derivation below. If A and B are sets in a finite universe U, then N(A N B) = N((A N B) nu) - m(uncano) - M(un(unory) = N(u - (an By) N(U) – N((A N BY^) ---Select--- = N ---Select--- ---Select--- %3D ---Select--- %3D ---Select--- %3D N(U) – N(A© U B9) ---Select--- %3D N(U) - N(A) + N(B“) – N(A° N Bº) ---Select--- | >

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 40WE
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Identify the theorems and/or identities that justify each step in the derivation below.
If A and B are sets in a finite universe U, then
N(A N B) = N(AN B) nu)
- (บก (Aก 5)
= N( (A
---Select---
---Select---
N
N B)
---Select---
= N(U - (AN B))
---Select---
= N(U) – N(AN By)
---Select---
N(U) – N(A° U Bº)
---Select---
N(U) - N(A) + N(B) – N(A° N Bº)|
---Select---
>
>
>
>
Transcribed Image Text:Identify the theorems and/or identities that justify each step in the derivation below. If A and B are sets in a finite universe U, then N(A N B) = N(AN B) nu) - (บก (Aก 5) = N( (A ---Select--- ---Select--- N N B) ---Select--- = N(U - (AN B)) ---Select--- = N(U) – N(AN By) ---Select--- N(U) – N(A° U Bº) ---Select--- N(U) - N(A) + N(B) – N(A° N Bº)| ---Select--- > > > >
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