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Homework Help: Set problem

  1. Aug 25, 2005 #1
    Give an example to show that [tex]A\in B[/tex] and [tex] B \in C[/tex] does not imply that [tex]A \in C[/tex]

    Maybe I am misunderstanding the problem, but it seems as though there may be an infinite amount of solutions. For example: A = {1}, B = {2, {1}}, C = {5, {2, {1}}}

    Is that correct?
  2. jcsd
  3. Aug 25, 2005 #2


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    Homework Helper

    Yes, they only wanted AN example.

    You could try giving two of `em, or maybe a "rule".
    How many different KINDS of rules can you come up with?
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