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Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

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BuyFindarrow_forward

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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In 30-40, construct an algebraic proof for the given statement, Cite a property from Theorem 6,2,2 for every step.

For all sets A and B, ( ( A e B c ) A ) c = A .

To determine

To prove:

For all sets Aand B, (( A c B c )A)c=A.

Explanation

Given information

(AB)C=(AC)(BC)

Concept used:

(AB)C=(AC)(BC).

Cite a property from Theorem 6.2.2 for every step of the proof.

Solution: Let A,B,and C be any sets. Then

(AB)C=(AB)Ccby the set difference law=Cc(AB)by the commutative law for =(CcA)(CcB)by the distributive law=(ACc)(BCc)by the commutative law for =(AC)(BC)by the set difference law.

Calculation:

Let A,B,and C be any sets.

The objective is to prove the following statement

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Sect-6.1 P-11TYSect-6.1 P-1ESSect-6.1 P-2ESSect-6.1 P-3ESSect-6.1 P-4ESSect-6.1 P-5ESSect-6.1 P-6ESSect-6.1 P-7ESSect-6.1 P-8ESSect-6.1 P-9ESSect-6.1 P-10ESSect-6.1 P-11ESSect-6.1 P-12ESSect-6.1 P-13ESSect-6.1 P-14ESSect-6.1 P-15ESSect-6.1 P-16ESSect-6.1 P-17ESSect-6.1 P-18ESSect-6.1 P-19ESSect-6.1 P-20ESSect-6.1 P-21ESSect-6.1 P-22ESSect-6.1 P-23ESSect-6.1 P-24ESSect-6.1 P-25ESSect-6.1 P-26ESSect-6.1 P-27ESSect-6.1 P-28ESSect-6.1 P-29ESSect-6.1 P-30ESSect-6.1 P-31ESSect-6.1 P-32ESSect-6.1 P-33ESSect-6.1 P-34ESSect-6.1 P-35ESSect-6.1 P-36ESSect-6.1 P-37ESSect-6.1 P-38ESSect-6.2 P-1TYSect-6.2 P-2TYSect-6.2 P-3TYSect-6.2 P-4TYSect-6.2 P-5TYSect-6.2 P-6TYSect-6.2 P-1ESSect-6.2 P-2ESSect-6.2 P-3ESSect-6.2 P-4ESSect-6.2 P-5ESSect-6.2 P-6ESSect-6.2 P-7ESSect-6.2 P-8ESSect-6.2 P-9ESSect-6.2 P-10ESSect-6.2 P-11ESSect-6.2 P-12ESSect-6.2 P-13ESSect-6.2 P-14ESSect-6.2 P-15ESSect-6.2 P-16ESSect-6.2 P-17ESSect-6.2 P-18ESSect-6.2 P-19ESSect-6.2 P-20ESSect-6.2 P-21ESSect-6.2 P-22ESSect-6.2 P-23ESSect-6.2 P-24ESSect-6.2 P-25ESSect-6.2 P-26ESSect-6.2 P-27ESSect-6.2 P-28ESSect-6.2 P-29ESSect-6.2 P-30ESSect-6.2 P-31ESSect-6.2 P-32ESSect-6.2 P-33ESSect-6.2 P-34ESSect-6.2 P-35ESSect-6.2 P-36ESSect-6.2 P-37ESSect-6.2 P-38ESSect-6.2 P-39ESSect-6.2 P-40ESSect-6.2 P-41ESSect-6.2 P-42ESSect-6.2 P-43ESSect-6.2 P-44ESSect-6.3 P-1TYSect-6.3 P-2TYSect-6.3 P-3TYSect-6.3 P-1ESSect-6.3 P-2ESSect-6.3 P-3ESSect-6.3 P-4ESSect-6.3 P-5ESSect-6.3 P-6ESSect-6.3 P-7ESSect-6.3 P-8ESSect-6.3 P-9ESSect-6.3 P-10ESSect-6.3 P-11ESSect-6.3 P-12ESSect-6.3 P-13ESSect-6.3 P-14ESSect-6.3 P-15ESSect-6.3 P-16ESSect-6.3 P-17ESSect-6.3 P-18ESSect-6.3 P-19ESSect-6.3 P-20ESSect-6.3 P-21ESSect-6.3 P-22ESSect-6.3 P-23ESSect-6.3 P-24ESSect-6.3 P-25ESSect-6.3 P-26ESSect-6.3 P-27ESSect-6.3 P-28ESSect-6.3 P-29ESSect-6.3 P-30ESSect-6.3 P-31ESSect-6.3 P-32ESSect-6.3 P-33ESSect-6.3 P-34ESSect-6.3 P-35ESSect-6.3 P-36ESSect-6.3 P-37ESSect-6.3 P-38ESSect-6.3 P-39ESSect-6.3 P-40ESSect-6.3 P-41ESSect-6.3 P-42ESSect-6.3 P-43ESSect-6.3 P-44ESSect-6.3 P-45ESSect-6.3 P-46ESSect-6.3 P-47ESSect-6.3 P-48ESSect-6.3 P-49ESSect-6.3 P-50ESSect-6.3 P-51ESSect-6.3 P-52ESSect-6.3 P-53ESSect-6.3 P-54ESSect-6.4 P-1TYSect-6.4 P-2TYSect-6.4 P-3TYSect-6.4 P-1ESSect-6.4 P-2ESSect-6.4 P-3ESSect-6.4 P-4ESSect-6.4 P-5ESSect-6.4 P-6ESSect-6.4 P-7ESSect-6.4 P-8ESSect-6.4 P-9ESSect-6.4 P-10ESSect-6.4 P-11ESSect-6.4 P-12ESSect-6.4 P-13ESSect-6.4 P-14ESSect-6.4 P-15ESSect-6.4 P-16ESSect-6.4 P-17ESSect-6.4 P-18ESSect-6.4 P-19ESSect-6.4 P-20ESSect-6.4 P-21ESSect-6.4 P-22ESSect-6.4 P-23ESSect-6.4 P-24ESSect-6.4 P-25ESSect-6.4 P-26ESSect-6.4 P-27ESSect-6.4 P-28ESSect-6.4 P-29ES