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Discrete Mathematics With Applications5th Edition
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In each of the following, draw a Venn diagram for set A , B , and C that satisfy the given conditions. a. A ⊆ B , C ⊆ B , A ∩ C = ∅ b. C ⊆ A , B ∩ C = ∅

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Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

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Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193
Chapter 6.1, Problem 14ES
Textbook Problem
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In each of the following, draw a Venn diagram for set A, B, and C that satisfy the given conditions.

a. A ⊆ B ,     C ⊆ B ,   A ∩ C = ∅

b. C ⊆ A ,     B ∩ C = ∅

To determine

(a)

Draw the venn diagram for the sets A,B and C that satisfy the given conditions:

A⊆B; C⊆B; A∩C=ϕ

Explanation of Solution

Given information:

A⊆B; C⊆B; A∩C=ϕ

Concept used:

⊆:​ subset

∩: Intersection

Calculation:

Let A,B and C be the subsets of the universal set U.

The objective is to draw Venn diagram for the sets A,B and C with the conditions

A⊆B; C⊆B; A∩C=∅

From A⊆B it is clear that every element in the set A is me element of the set B

To determine

(b)

Draw the venn diagram for sets A,B and C that satisfy the given condition.

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Discrete Mathematics With Applications
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