Draw the Venn diagrams for each of these combinations of

Chapter 1, Problem 26E

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QUESTION:

Draw the Venn diagrams for each of these combinations of the sets \(A, B\), and \(C\).

a) \(A \cap(B \cup C)\)

b) \(\bar{A} \cap \bar{B} \cap \bar{C}\)

c) \((A-B) \cup(A-C) \cup(B-C)\)

Equation Transcription:

                 

Text Transcription:

A

B  

C

A cap (B cup C)                  

Bar A cap bar B cap bar C  

(A − B) cup (A − C) cup (B − C)

Questions & Answers

QUESTION:

Draw the Venn diagrams for each of these combinations of the sets \(A, B\), and \(C\).

a) \(A \cap(B \cup C)\)

b) \(\bar{A} \cap \bar{B} \cap \bar{C}\)

c) \((A-B) \cup(A-C) \cup(B-C)\)

Equation Transcription:

                 

Text Transcription:

A

B  

C

A cap (B cup C)                  

Bar A cap bar B cap bar C  

(A − B) cup (A − C) cup (B − C)

ANSWER:

Solution:

Step 1: 

We have to draw the Venn diagrams for each of these combinations of the sets A, B. and C.

a) A ∩ (B ∪ C)

b)

c) (A – B) ∪ (A – C) ∪ (B – C)

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