   # Let A = { a , b } , B = { 1 , 2 , } and C= { 2 , 3 } . Find each of the following sets . A × ( B ∪ C ) ( A × B ) ∪ ( A × C ) A × ( B ∩ C ) ( A × B ) ∩ ( A × C ) ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193
Chapter 6.1, Problem 35ES
Textbook Problem
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## Let A = { a , b } ,   B = { 1 , 2 , }   and   C= { 2 , 3 } .   Find   each of the following sets . A × ( B ∪ C ) ( A × B ) ∪ ( A × C ) A × ( B ∩ C ) ( A × B ) ∩ ( A × C )

To determine

(a)

Find A×(BC)

### Explanation of Solution

Given information:

A={a,b},B={1,2} and C={2,3}

Concept used:

A×B={(a,b)|aA and bB}

Calculation:

BC={1,2,3}

A×(BC)={(a,1),

To determine

(b)

Find the value of

(A×B)(A×C)

To determine

(c)

Find the value of

A×(BC)

To determine

(d)

Find the value of

(A×B)(A×C)

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