Unformatted text preview: the set that has exactly one element, that element being the empty set. ∅ has no elements. {∅} has exactly one element. Since ∅ is in fact a member of {∅} , this statement is true. b) {∅} ∈ {{∅}} This statement is also true. Note that neither of these sets is the empty set. c) {{∅}} ⊆ {{∅} , {∅}} This is true. In fact, the sets are equal (note that the right hand side has {∅} listed twice. Since we don’t care about repetition, we could simply write the right hand side as {{∅}} ). 1...
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 Fall '08
 Miller
 Math, right hand

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