Determine whether each of these statements is true or false.a) 0 ∈ ∅b) ∅ ∈ {0}c) {0} ⊂ ∅d) ∅ ⊂ {0}e) {0} ∈ {0}f) {0} ⊂ {0}g) {∅} ⊆ {∅}

Question

Determine whether each of these statements is true or false.a) 0 ∈ ∅b) ∅ ∈ {0}c) {0} ⊂ ∅d) ∅ ⊂ {0}e) {0} ∈ {0}f) {0} ⊂ {0}g) {∅} ⊆ {∅}
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Solution 1

a) False. The empty set ∅ does not contain any elements, including 0.

b) False. The set {0} contains the element 0, not the empty set ∅.

c) False. The set {0} cannot be a subset of ∅ because ∅ does not contain any elements.

d) True. The empty set ∅ is a subset of any set, including {0}.

e) False Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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