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Unformatted text preview: a Øh4Ô Ö iÒg6ÓÑ eÛ Ó Ök# Ó ÐÙ Ø iÓÒ ×bÝ iÑC a ÐÐahaÒ § 1.6 Problem 5 ( a ): 2 is an integer greater than 1, so 2 is in the set. ( b ): 2 is not the square of an integer, so 2 is not in the set. ( c ): The set { 2 , { 2 }} does contain 2 (it’s listed as the first element). ( e ): 2 is not an element of {{ 2 } , {{ 2 }}} . The first element is the set containing 2, not 2 itself, and the second element is also a set. ( e ): Similarly, 2 is not an element of {{ 2 } , { 2 , { 2 }}} . ( f ): Likewise, 2 is not an element of {{{ 2 }}} . § 1.6 Problem 6 ( a ): The set { x ∈ R  x is an integer greater than 1 } is a set whose elements are integers, not sets, so { 2 } is not an element of this set. ( b ): Similarly, { 2 } is not an element of this set. ( c ): { 2 } is an element of { 2 , { 2 }} (it’s the second element). ( d ): { 2 } ∈ {{ 2 } , {{ 2 }}} (it’s the first element)....
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 Spring '06
 CALLAHAN
 Finite set

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