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

Q: Expert Answer

To determine (a) Calculate ∪ i = 0 4 D i . Explanation Given information: Let D i = { x ∈ R | − i ≤ x ≤ i } = [ − i , i ] for each nonnegative integer i. Calculation: D i = { x ∈ R | − i ≤ x ≤ i } = [ − i , i ] Let us first determine D 0 , D 1 , D 2 , D 3 and D 4 D 0 = { x ∈ R | − 0 ≤ x ≤ 0 } = { 0 } D 1 = { x ∈ R | − 1 ≤ x ≤ 1 } D 2 = { x ∈ R | − 2 ≤ x ≤ 2 } D 3 = { x ∈ R | − 3 ≤ x ≤< To determine (b) Calculate ∩ i = 0 4 D i . To determine (c) Determine whether D 0 , D 1 , D 2 , .... mutually disjoint. To determine (d) Calculate ∪ i = 0 n D i . To determine (e) Calculate ∩ i = 0 n D i . To determine (f) Calculate ∪ i = 0 ∞ D i . To determine (g) Calculate ∩ i = 0 ∞ D i .

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Answer 1

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Discrete Mathematics With Applicat...

5th Edition

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Publisher: Cengage Learning,

ISBN: 9781337694193

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Section

Answer 2

BuyFind

Discrete Mathematics With Applicat...

5th Edition

EPP + 1 other

Publisher: Cengage Learning,

ISBN: 9781337694193

Solutions

Chapter

Section

Answer 3

Solutions

Chapter

Section

Answer 4

Chapter

Section

Answer 5

To determine

(a)

Calculate ∪i=04Di.

Explanation of Solution

Given information:

Let Di={x∈R|−i≤x≤i}=[−i,i] for each nonnegative integer i.

Calculation:

Di={x∈R|−i≤x≤i}=[−i,i]

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

D0={x∈R|−0≤x≤0}={0}

D1={x∈R|−1≤x≤1}

D2={x∈R|−2≤x≤2}

D3={x∈R|−3≤x≤<

Answer 6

To determine

(b)

Calculate ∩i=04Di.

Answer 7

To determine

(c)

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

Answer 8

To determine

(d)

Calculate ∪i=0nDi.

Answer 9

To determine

(e)

Calculate ∩i=0nDi.

Answer 10

To determine

(f)

Calculate ∪i=0∞Di.

Answer 11

To determine

(g)

Calculate ∩i=0∞Di.

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

Discrete Mathematics With Applicat...

Solutions

Discrete Mathematics With Applicat...

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

Explanation of Solution

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