Explanation Formula Used: If A and B are two sets then A ∩ B is defined as { x | x ∈ A and x ∈ B } . If A and B are two sets then A ∪ B is defined as { x | x ∈ A or x ∈ B } . Proof: Consider two sets A and B then A ∪ B is defined as { x | x ∈ A or x ∈ B } . Let x ∈ A ∩ B

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ISBN: 9781285965918

Author: Gilbert

Publisher: Cengage

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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 1.1, Problem 14E

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To prove: The statement A∩B⊆A∪B.

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Chapter 1.1, Problem 13E

Chapter 1.1, Problem 15E

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Elements Of Modern Algebra

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To prove: The statement A ∩ B ⊆ A ∪ B .

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To prove: The statement A∩B⊆A∪B.

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Chapter 1 Solutions