   # Let W i = { x ∈ R | x &gt; i } = ( i , ∞ ) for each nonnegative integer i . a. ∪ i = 0 4 W i = ? b. ∩ i = 0 4 W i = ? c. Are W 0 , W 1 , W 2 , ... mutually disjoint? Explain. d. ∪ i = 0 n W i = ? e. ∩ i = 0 n W i = ? f. ∪ i = 0 n W 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 24ES
Textbook Problem
1 views

## Let W i = { x ∈ R | x > i } = ( i , ∞ ) for each nonnegative integer i.a. ∪ i = 0 4 W i = ? b. ∩ i = 0 4 W i = ? c. Are W 0 , W 1 , W 2 , ... mutually disjoint? Explain. d. ∪ i = 0 n W i = ? e. ∩ i = 0 n W i = ? f. ∪ i = 0 n W i = ?

To determine

(a)

Calculate the value of i=04Wi.

### Explanation of Solution

Given information:

Let Wi={xR|x>i}=(i,) for each nonnegative integer i.

Calculation:

Wi={xR|x>i}=(i,)

Let us first determine W0,W1,W2,W3 and W4.

W0={xR|x>0}=(0,+)W1={xR|x>1}=(1,+)W2={xR|x>2}=(2,+)W3={xR|x>3}</

To determine

(b)

Calculate i=04Wi.

To determine

(c)

Find whether W0,W1,W2,.... are mutually disjoint or not.

To determine

(d)

Calculate i=0nWi.

To determine

(e)

Calculate i=0nWi.

To determine

(f)

Calculate i=0Wi.

To determine

(g)

Calculate i=0Wi.

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