Which of the following statements are true about sets?
A. 0 ∈ ∅
B. ∅ ∈ {0}
C. ∅ ∈ {∅}
D. {∅} ∈ {∅}
E. {∅} ⊂ {∅, {∅}}
Choose the correct answer from the options given below:
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Correct answer: D. C and E only
Explanation
∅ has no elements (A false). {0} contains only 0 (B false). {∅} contains ∅ (C true). The only element of {∅} is ∅, not {∅} (D false). Every element of {∅}, namely ∅, is in {∅, {∅}}, and the sets differ, so {∅} is a proper subset (E true).More Discrete Structures and Optimization questions
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