Answered: Let A, B, and C be sets. Using Venn…

Let A, B, and C be sets. Using Venn Diagram and Set identities, show that a) (A∪B)⊆ (A∪B ∪C). b) (A∩B ∩C)⊆ (A∩B). c) (A−B)−C ⊆ A−C.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.1: Sets And Geometry

Problem 11E: For the sets gives in Exercise 9, is there a distributive relationship for union with respect with...

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Question

Let A, B, and C be sets. Using Venn Diagram and Set identities, show that

a) (A∪B)⊆ (A∪B ∪C).

b) (A∩B ∩C)⊆ (A∩B).

c) (A−B)−C ⊆ A−C.

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