Show that if A,b, and C are sets, then a) by showing each

Chapter 1, Problem 17E

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QUESTION:

Show that if \(A, B\), and \(C\) are sets, then \(\overline{A \cap B \cap C}=\) \(ar{A} \cup \bar{B} \cup \bar{C}\)

a) by showing each side is a subset of the other side.

b) using a membership table.

Equation Transcription:

Text Transcription:

A  

B  

C

Overline A cap B cap C =  bar A cup bar B cup bar C

Questions & Answers

QUESTION:

Show that if \(A, B\), and \(C\) are sets, then \(\overline{A \cap B \cap C}=\) \(ar{A} \cup \bar{B} \cup \bar{C}\)

a) by showing each side is a subset of the other side.

b) using a membership table.

Equation Transcription:

Text Transcription:

A  

B  

C

Overline A cap B cap C =  bar A cup bar B cup bar C

ANSWER:

Solution :

Step 1:

In this problem we have to show that  by  each side is a subset of the other side.

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