   # Let D i = { x ∈ R|-i ≤ x ≤ i } = [ − i , i ] for each nonnegative integer i . ### 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 22ES
Textbook Problem
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## Let D i = { x ∈ R|-i ≤ x ≤ i } = [ − i , i ] for each nonnegative integer i.

To determine

(a)

Calculate i=04Di.

### Explanation of Solution

Given information:

Let Di={xR|ixi}=[i,i] for each nonnegative integer i.

Calculation:

Di={xR|ixi}=[i,i]

Let us first determine D0,D1,D2,D3 and D4

D0={xR|0x0}={0}

D1={xR|1x1}

D2={xR|2x2}

D3={xR|3x≤<

To determine

(b)

Calculate i=04Di.

To determine

(c)

Determine whether D0,D1,D2,.... mutually disjoint.

To determine

(d)

Calculate i=0nDi.

To determine

(e)

Calculate i=0nDi.

To determine

(f)

Calculate i=0Di.

To determine

(g)

Calculate i=0Di.

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