   # Let A i = { i , i 2 } for each integer i = 1 , 2 , 3 , 4. a. A 1 ∩ A 2 ∪ A 3 ∪ A 4 = ? b. A 1 ∩ A 2 ∩ A 3 ∩ A 4 = ? c. Are A 1 , A 2 , A 3 , and A 4 mutually disjoint? Explain. ### 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 19ES
Textbook Problem
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## Let A i = { i , i 2 } for each integer i = 1 , 2 , 3 , 4. a. A 1 ∩ A 2 ∪ A 3 ∪ A 4 = ? b. A 1 ∩ A 2 ∩ A 3 ∩ A 4 = ? c. Are A 1 , A 2 , A 3 , and A 4 mutually disjoint? Explain.

To determine

(a)

A1A2A3A4

### Explanation of Solution

Given information:

Ai={i,i2} for all integers i=1,2,3,4.

Concept used:

:union of sets

Calculation:

A1={1,12}={1}A2={2,22}={2,4}A3={3,32}={3,9}A4={4

To determine

(b)

A1A2A3A4

To determine

(c)

Are A1,A2,A3 and A4 mutually disjoint? Explain.

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