Determine whether each of these statements is true or false. Explain why. 0 ∈ ∅ ∅ ∈ {0} {0} ⊂ ∅ ∅ ⊂ {0} {0} ∈ {0} {0} ⊂ {0} {∅} ⊆ {∅} ∅ ∈ {∅} ∅ ∈ {∅, {∅}} {∅} ∈ {∅} {∅} ∈ {{∅}} {∅} ⊂ {∅, {∅}} {{∅}} ⊂ {∅, {∅}} {{∅}} ⊂ {{∅}, {∅}}
Determine whether each of these statements is true or false. Explain why. 0 ∈ ∅ ∅ ∈ {0} {0} ⊂ ∅ ∅ ⊂ {0} {0} ∈ {0} {0} ⊂ {0} {∅} ⊆ {∅} ∅ ∈ {∅} ∅ ∈ {∅, {∅}} {∅} ∈ {∅} {∅} ∈ {{∅}} {∅} ⊂ {∅, {∅}} {{∅}} ⊂ {∅, {∅}} {{∅}} ⊂ {{∅}, {∅}}
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 28E
Related questions
Question
Determine whether each of these statements is true or false. Explain why.
- 0 ∈ ∅
- ∅ ∈ {0}
- {0} ⊂ ∅
- ∅ ⊂ {0}
- {0} ∈ {0}
- {0} ⊂ {0}
- {∅} ⊆ {∅}
- ∅ ∈ {∅}
- ∅ ∈ {∅, {∅}}
- {∅} ∈ {∅}
- {∅} ∈ {{∅}}
- {∅} ⊂ {∅, {∅}}
- {{∅}} ⊂ {∅, {∅}}
- {{∅}} ⊂ {{∅}, {∅}}
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