Unformatted text preview: ∅ , so it is indeed an element. b) {∅} ∈ {∅} This is not true. The sets are in fact equal, and it is never true that a set is an element of itself. Remember, this is di±erent from the true statment that S ⊆ S . c) {{∅}} ⊆ {∅ , {∅}} This is true. The only element of the right hand side is {∅} . This is the second element in the right hand side. Thus every element of the left hand side is an element of the right hand side. 1...
View
Full Document
 Fall '08
 Miller
 Math, Rational number, right hand

Click to edit the document details