   # a. Is the number 0 in ∅ ? Why? b. Is ∅ = { ∅ } ? Why ? c. Is ∅ ∈ { ∅ } ? Why? d. Is ∅ ∈ ∅ ? Why? ### 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 18ES
Textbook Problem
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## a. Is the number 0 in ∅ ? Why?b. Is ∅ = { ∅ } ? Why ?c. Is ∅ ∈ { ∅ } ? Why?d. Is ∅ ∈ ∅ ? Why?

To determine

(a)

Is the number 0 in ϕ ? Why ?

### Explanation of Solution

Given information:

0 in

Concept used:

0 is an element while is null set and does not contain element.

Calculation:

The objective is to determine whether the number 0 is in ϕ or not and justify the answer

To determine

(b)

Is ϕ={ϕ} ?why?

To determine

(c)

Is ϕ{ϕ} ? Why ?.

To determine

(d)

Is ϕϕ ?why ?

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