Which of the following statements about sets are true? A. 0 ∈ ∅ B. ∅ ∈ {0} C. ∅ ∈ {∅} D. {∅} ∈ {∅} E. {∅} ⊂ {∅, {∅}}

1. AA, B, C, D and E
2. BA, B, C and E only
3. CA, C only
4. DC and E only

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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); {∅}'s only element is ∅, not {∅} (D false); every element of {∅} is in {∅, {∅}} and the second set is larger, so E is true.