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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((A n B) nu) N(Un (An B)) = N = N(un (A^B) C)C) N(U- (An B)c) = N = N(U) - N((An B)c) N(U) - N(AC UBC) = N(U) - [N(A°) + N(Bº) - N(Aºn B²)] = by the identity law for n by the double complement law ---Select--- by the commutative law by De Morgan's law by the difference rule by the double complement law by the identity law for n by the inclusion/exclusion rule by the set difference law ↑ î 3 M -----

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) N(Un (An B)) = N = N(un (A^B) C)C) N(U- (An B)c) = N = N(U) - N((An B)c) N(U) - N(AC UBC) = N(U) - [N(A°) + N(Bº) - N(Aºn B²)] = by the identity law for n by the double complement law ---Select--- by the commutative law by De Morgan's law by the difference rule by the double complement law by the identity law for n by the inclusion/exclusion rule by the set difference law ↑ î 3 M -----

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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((An B) nu) = N(Un (An B) - N(UN (CAMBIC)') N(U- (An B)c) C) = N = N(U) - N((An B)c) N(A n B) = = = N(U) - N(ACU BC) N(U) – [N(A²) + N(B²) — N(Aºn B²) by the identity law for n by the double complement law ---Select--- by the commutative law by De Morgan's law by the difference rule by the double complement law by the identity law for n by the inclusion/exclusion rule by the set difference law ↑ ↑ <> C C
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((An B) nu) = N(Un (An B) - N(UN (CAMBIC)') N(U- (An B)c) C) = N = N(U) - N((An B)c) N(A n B) = = = N(U) - N(ACU BC) N(U) – [N(A²) + N(B²) — N(Aºn B²) by the identity law for n by the double complement law ---Select--- by the commutative law by De Morgan's law by the difference rule by the double complement law by the identity law for n by the inclusion/exclusion rule by the set difference law ↑ ↑ <> C C
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