Explanation Given information: Let the given sets are U = { x : x is a natural number less than 11 } A = { 1 , 3 , 5 , 8 , 7 , 2 } B = { 4 , 3 , 8 , 10 } C = { 2 , 4 , 6 , 8 , 10 } Explanation: Consider the sets U = { x : x is a natural number less than 11 } A = { 1 , 3 , 5 , 8 , 7 , 2 } B = { 4 , 3 , 8 , 10 } C = { 2 , 4 , 6 , 8 , 10 } Let the set U = { x : x is a natural number less than 11 } . Here, the set is written in the following way: U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } First, we calculate B ′ , ( A ∩ B ′ ) , then we will calculate ( A ∩ B ′ ) ′ , ( A ∩ B ′ ) ′ ∩ C . According to the definition, all elements of the universal set that are not contained in a set B form a set called the complement of B . It is denoted by B ′ . Evaluating B ′ : The sets are U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } and B = { 4 , 3 , 8 , 10 } . B ′ = U − B B ′ = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } − { 4 , 3 , 8 , 10 } = { 1 , 2 , 5 , 6 , 7 , 9 } Evaluating ( A ∩ B ′ ) : The sets are A = { 1 , 3 , 5 , 8 , 7 , 2 } and B ′ = { 1 , 2 , 5 , 6 , 7 , 9 }

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

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Chapter 0.1, Problem 41E

To determine

The set (A∩B′)′∩C.

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Chapter 0.1, Problem 40E

Chapter 0.1, Problem 42E

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Chapter 0 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 0.1 - Prob. 1CP Ch. 0.1 - Prob. 2CP Ch. 0.1 - Prob. 3CP Ch. 0.1 - Prob. 4CP Ch. 0.1 - CHECK POINT Let A=={ 2,3,5,7,11 } ,B={ 2,4,6,8,10...Ch. 0.1 - Prob. 6CP Ch. 0.1 - Prob. 7CP Ch. 0.1 - Prob. 8CP Ch. 0.1 - In problems 1-4, use or to indicate whether the...Ch. 0.1 - In problems 1-4, use or to indicate whether the...

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The set ( A ∩ B ′ ) ′ ∩ C .

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The set (A∩B′)′∩C.

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