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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 27 and 28 supply a reason fro each step in the derivation.

Forall sets A, B, and C,
( A B ) C = ( A C ) ( B C )

Proof: Suppose A, B, and C, are any sets. Then
( A B ) C = C ( A B ) by(a) = C ( A B ) by(b) = ( A C ) ( B C ) by(c)

To determine

For all sets A,B,and C,

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

Proof:

Suppose A,B,and C are any sets. Then

(AB)C=C(AB)by (a)=(CA)(CB)by (b)=(AC)(BC)by (c)

Explanation

Given information

(AB)C=C(AB)by (a)(AB)C=(CA)(CB)by (b)(AB)C=(AC)(BC)by (c)

Concept used:

(AB)C=C(AB)by the commutative law for(AB)C=(CA)(CB)by the distributive law(AB)C=(AC)(BC)by the commutative law for 

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