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. 0 ∈ ∅ 2. ∅ ∈ {0} 3. {0} ⊆ ∅4. ∅ ⊂ {0} 5. {∅} ⊆ {∅} 6. {0} ⊆ {0}7. ∅ ∈ {∅} 8. {∅} ∈ {{∅}} 9. {∅} ⊂ {∅, {∅}}10. x ∈ {x} 11. ∅ ⊆ {x} 12. ∅ ∈ {x}Lec 2 TS 5

Question

. 0 ∈ ∅ 2. ∅ ∈ {0} 3. {0} ⊆ ∅4. ∅ ⊂ {0} 5. {∅} ⊆ {∅} 6. {0} ⊆ {0}7. ∅ ∈ {∅} 8. {∅} ∈ {{∅}} 9. {∅} ⊂ {∅, {∅}}10. x ∈ {x} 11. ∅ ⊆ {x} 12. ∅ ∈ {x}Lec 2 TS 5
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Solution 1

  1. 0 ∈ ∅: False. The empty set ∅ does not contain any elements, including 0.

  2. ∅ ∈ {0}: False. The set {0} contains the element 0, not the empty set ∅.

  3. {0} ⊆ ∅: False. The empty set ∅ does not contain any elements, so it cannot contain the set {0}.

  4. ∅ ⊂ {0}: True. The empty set ∅ is a subse Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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