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Math
AlgebraElements Of Modern Algebra8th Edition

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Chapter 1.1, Problem 5E
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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

Solutions

Chapter
Section
Problem 1TFE
Problem 2TFE
Problem 3TFE
Problem 4TFE
Problem 5TFE
Problem 6TFE
Problem 7TFE
Problem 8TFE
Problem 9TFE
Problem 10TFE
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
3 views

Evaluate each of the following sets, where

U = { 0 , 1 , 2 , 3 , … , 10 } A = { 0 , 1 , 2 , 3 , 4 , 5 } B = { 0 , 2 , 4 , 6 , 8 , 10 } C = { 2 , 3 , 5 , 7 } .

a. A ∪ B b. A ∩ C c. A ′ ∪ B
d. A ∩ B ∩ C e. A ′ ∩ B ∩ C f. A ∪ ( B ∩ C )
g. A ∩ ( B ∪ C ) h. ( A ∪ B ′ ) ′ i. A − B
j. B − A k. A − ( B − C ) l. C − ( B − A )
m. ( A − B ) ∩ ( C − B ) n. ( A − B ) ∩ ( A − C )

a)

To determine

The elements of set A∪B where the sets A and B are given by A={0,1,2,3,4,5} and B={0,2,4,6,8,10}.

Explanation

Formula Used:

If A and B are sets, the union of A and B is the set A∪B, given by,

A∪B={x|x∈A or x∈B}

Explanation:

Consider the provided sets A and B.

A={0,1,2,3,4,5} and B={0,2,4,6,8,10}

The

b)

To determine

The elements of set A∩C where the sets A and C are given by A={0,1,2,3,4,5} and C={2,3,5,7}.

c)

To determine

The elements of set A′∪B where the sets A and B are given by A={0,1,2,3,4,5} and B={0,2,4,6,8,10}.

d)

To determine

The elements of set A∩B∩C where the sets A, B and C are given by A={0,1,2,3,4,5}, B={0,2,4,6,8,10} and C={2,3,5,7}.

e)

To determine

The elements of set A′∩B∩C where the sets A, B and C are given by A={0,1,2,3,4,5}, B={0,2,4,6,8,10} and C={2,3,5,7}.

f)

To determine

The elements of set A∪(B∩C) where the sets A, B and C are given by A={0,1,2,3,4,5}, B={0,2,4,6,8,10} and C={2,3,5,7}.

g)

To determine

The elements of set A∩(B∪C) where the sets A, B and C are given by A={0,1,2,3,4,5}, B={0,2,4,6,8,10} and C={2,3,5,7}.

h)

To determine

The elements of set (A∪B′)′ where the sets A and B are given by A={0,1,2,3,4,5} and B={0,2,4,6,8,10}.

i)

To determine

The elements of set A−B where the sets A and B are given by A={0,1,2,3,4,5} and B={0,2,4,6,8,10}.

j)

To determine

The elements of set B−A where the sets A and B are given by A={0,1,2,3,4,5} and B={0,2,4,6,8,10}.

k)

To determine

The elements of set A−(B−C) where the sets A, B and C are given by A={0,1,2,3,4,5}, B={0,2,4,6,8,10} and C={2,3,5,7}.

l)

To determine

The elements of set C−(B−A) where the sets A, B and C are given by A={0,1,2,3,4,5}, B={0,2,4,6,8,10} and C={2,3,5,7}.

m)

To determine

The elements of set (A−B)∩(C−B) where the sets A, B and C are given by A={0,1,2,3,4,5}, B={0,2,4,6,8,10} and C={2,3,5,7}.

n)

To determine

The elements of set (A−B)∩(A−C) where the sets A, B and C are given by A={0,1,2,3,4,5}, B={0,2,4,6,8,10} and C={2,3,5,7}.

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Sect-1.1 P-1TFESect-1.1 P-2TFESect-1.1 P-3TFESect-1.1 P-4TFESect-1.1 P-5TFESect-1.1 P-6TFESect-1.1 P-7TFESect-1.1 P-8TFESect-1.1 P-9TFESect-1.1 P-10TFE
Sect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-6ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10ESect-1.1 P-11ESect-1.1 P-12ESect-1.1 P-13ESect-1.1 P-14ESect-1.1 P-15ESect-1.1 P-16ESect-1.1 P-17ESect-1.1 P-18ESect-1.1 P-19ESect-1.1 P-20ESect-1.1 P-21ESect-1.1 P-22ESect-1.1 P-23ESect-1.1 P-24ESect-1.1 P-25ESect-1.1 P-26ESect-1.1 P-27ESect-1.1 P-28ESect-1.1 P-29ESect-1.1 P-30ESect-1.1 P-31ESect-1.1 P-32ESect-1.1 P-33ESect-1.1 P-34ESect-1.1 P-35ESect-1.1 P-36ESect-1.1 P-37ESect-1.1 P-38ESect-1.1 P-39ESect-1.1 P-40ESect-1.1 P-41ESect-1.1 P-42ESect-1.1 P-43ESect-1.2 P-1TFESect-1.2 P-2TFESect-1.2 P-3TFESect-1.2 P-4TFESect-1.2 P-5TFESect-1.2 P-6TFESect-1.2 P-7TFESect-1.2 P-8TFESect-1.2 P-9TFESect-1.2 P-1ESect-1.2 P-2ESect-1.2 P-3ESect-1.2 P-4ESect-1.2 P-5ESect-1.2 P-6ESect-1.2 P-7ESect-1.2 P-8ESect-1.2 P-9ESect-1.2 P-10ESect-1.2 P-11ESect-1.2 P-12ESect-1.2 P-13ESect-1.2 P-14ESect-1.2 P-15ESect-1.2 P-16ESect-1.2 P-17ESect-1.2 P-18ESect-1.2 P-19ESect-1.2 P-20ESect-1.2 P-21ESect-1.2 P-22ESect-1.2 P-23ESect-1.2 P-24ESect-1.2 P-25ESect-1.2 P-26ESect-1.2 P-27ESect-1.2 P-28ESect-1.3 P-1TFESect-1.3 P-2TFESect-1.3 P-3TFESect-1.3 P-4TFESect-1.3 P-5TFESect-1.3 P-6TFESect-1.3 P-1ESect-1.3 P-2ESect-1.3 P-3ESect-1.3 P-4ESect-1.3 P-5ESect-1.3 P-6ESect-1.3 P-7ESect-1.3 P-8ESect-1.3 P-9ESect-1.3 P-10ESect-1.3 P-11ESect-1.3 P-12ESect-1.4 P-1TFESect-1.4 P-2TFESect-1.4 P-3TFESect-1.4 P-4TFESect-1.4 P-5TFESect-1.4 P-6TFESect-1.4 P-7TFESect-1.4 P-8TFESect-1.4 P-9TFESect-1.4 P-1ESect-1.4 P-2ESect-1.4 P-3ESect-1.4 P-4ESect-1.4 P-5ESect-1.4 P-6ESect-1.4 P-7ESect-1.4 P-8ESect-1.4 P-9ESect-1.4 P-10ESect-1.4 P-11ESect-1.4 P-12ESect-1.4 P-13ESect-1.4 P-14ESect-1.4 P-15ESect-1.4 P-16ESect-1.5 P-1TFESect-1.5 P-2TFESect-1.5 P-3TFESect-1.5 P-1ESect-1.5 P-2ESect-1.5 P-3ESect-1.5 P-4ESect-1.5 P-5ESect-1.5 P-6ESect-1.5 P-7ESect-1.5 P-8ESect-1.5 P-9ESect-1.5 P-10ESect-1.6 P-1TFESect-1.6 P-2TFESect-1.6 P-3TFESect-1.6 P-4TFESect-1.6 P-5TFESect-1.6 P-6TFESect-1.6 P-7TFESect-1.6 P-8TFESect-1.6 P-9TFESect-1.6 P-10TFESect-1.6 P-11TFESect-1.6 P-12TFESect-1.6 P-1ESect-1.6 P-2ESect-1.6 P-3ESect-1.6 P-4ESect-1.6 P-5ESect-1.6 P-6ESect-1.6 P-7ESect-1.6 P-8ESect-1.6 P-9ESect-1.6 P-10ESect-1.6 P-11ESect-1.6 P-12ESect-1.6 P-13ESect-1.6 P-14ESect-1.6 P-15ESect-1.6 P-16ESect-1.6 P-17ESect-1.6 P-18ESect-1.6 P-19ESect-1.6 P-20ESect-1.6 P-21ESect-1.6 P-22ESect-1.6 P-23ESect-1.6 P-24ESect-1.6 P-25ESect-1.6 P-26ESect-1.6 P-27ESect-1.6 P-28ESect-1.6 P-29ESect-1.6 P-30ESect-1.6 P-31ESect-1.6 P-32ESect-1.7 P-1TFESect-1.7 P-2TFESect-1.7 P-3TFESect-1.7 P-4TFESect-1.7 P-5TFESect-1.7 P-6TFESect-1.7 P-1ESect-1.7 P-2ESect-1.7 P-3ESect-1.7 P-4ESect-1.7 P-5ESect-1.7 P-6ESect-1.7 P-7ESect-1.7 P-8ESect-1.7 P-9ESect-1.7 P-10ESect-1.7 P-11ESect-1.7 P-12ESect-1.7 P-13ESect-1.7 P-14ESect-1.7 P-15ESect-1.7 P-16ESect-1.7 P-17ESect-1.7 P-18ESect-1.7 P-19ESect-1.7 P-20ESect-1.7 P-21ESect-1.7 P-22ESect-1.7 P-23ESect-1.7 P-24ESect-1.7 P-25ESect-1.7 P-26ESect-1.7 P-27ESect-1.7 P-28ESect-1.7 P-29ESect-1.7 P-30E

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