Prove the complementation law in Table 1 by showing that

Chapter 1, Problem 5E

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QUESTION:

In Exercises 5–10 assume that \(A\) is a subset of some underlying universal set \(U\).

Prove the complementation law in Table 1 by showing that \(\overline{\bar{A}}=A\).

Equation Transcription:

Text Transcription:

A

U

Overline bar A =A

Questions & Answers

QUESTION:

In Exercises 5–10 assume that \(A\) is a subset of some underlying universal set \(U\).

Prove the complementation law in Table 1 by showing that \(\overline{\bar{A}}=A\).

Equation Transcription:

Text Transcription:

A

U

Overline bar A =A

ANSWER:

Solution:

Step 1:

        In this problem we need to show that

                                                         .

NOTE: Complement of set A is denoted by

.

                                           

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