   # In each of the following, draw a Venn diagram for sets A, B, and C that satisfy the given conditions. a. A ∩ B = ∅ , A ⊆ C , C ∩ B ≠ ∅ b. A ⊆ B , C ⊆ B , A ∩ C ≠ ∅ c. A ∩ B ≠ ∅ , B ∩ C ≠ ∅ , A ∩ C = ∅ , A ⊄ B , C ⊆ B ### Discrete Mathematics With Applicat...

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

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193
Chapter 6.1, Problem 15ES
Textbook Problem
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## In each of the following, draw a Venn diagram for sets A, B, and C that satisfy the given conditions.a. A ∩ B = ∅ , A ⊆ C , C ∩ B ≠ ∅ b. A ⊆ B , C ⊆ B , A ∩ C ≠ ∅ c. A ∩ B ≠ ∅ , B ∩ C ≠ ∅ , A ∩ C = ∅ , A ⊄ B ,   C ⊆ B

To determine

(a)

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

AB=ϕ,AC,CBϕ

### Explanation of Solution

Given information:

AB=ϕ,AC,CBϕ

Concept used:

: subset

: Intersection

Calculation:

The objective is to draw Venn diagram to describe sets A,B and C that satisfy the conditions.

AB=,AC,CB.

Draw Venn diagrams for each condition and combine them to get me result.

As AB=, the sets A and B are disjoint sets as they do not have any element in common.

Therefore, the Venn diagram of AB= is as follow:

To determine

(b)

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

AB,CB,ACϕ

To determine

(c)

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

AB,BC,AC,AB,CB

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