anonymous
  • anonymous
Let the set T be \(T:=\{1,2,\{1,2\}\}\). Is this true: \[T-\wp T=\wp T - T\]
Mathematics
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anonymous
  • anonymous
Let the set T be \(T:=\{1,2,\{1,2\}\}\). Is this true: \[T-\wp T=\wp T - T\]
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Sorry, I thought I would be an interesting question but I just saw that is an easy one.
anonymous
  • anonymous
\[ T - \mathcal P(T) \]Will give you \[ \{1, 2\} \]
anonymous
  • anonymous
Yeah and the other side is \(\{\emptyset, \{1\},\{2\}\}\)

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anonymous
  • anonymous
Yet \[ \mathcal P(T) - T \]Will get you a bunch of sets.
anonymous
  • anonymous
Thank you wio.
anonymous
  • anonymous
@No-data It's gonna be a lot bigger than that.
anonymous
  • anonymous
My bad, you're right it has to be 7 elements.
anonymous
  • anonymous
\[ |T| = 3 \\ |\mathcal P(T)| = 2^{|T|} = 2^3 = 8 \]You only gonna be taking out \(\{1,2\}\) so it should be 7 elements.
anonymous
  • anonymous
Maybe I should take a rest lol.

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