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No-data

  • 2 years ago

Let the set T be \(T:=\{1,2,\{1,2\}\}\). Is this true: \[T-\wp T=\wp T - T\]

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  1. No-data
    • 2 years ago
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    Sorry, I thought I would be an interesting question but I just saw that is an easy one.

  2. wio
    • 2 years ago
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    \[ T - \mathcal P(T) \]Will give you \[ \{1, 2\} \]

  3. No-data
    • 2 years ago
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    Yeah and the other side is \(\{\emptyset, \{1\},\{2\}\}\)

  4. wio
    • 2 years ago
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    Yet \[ \mathcal P(T) - T \]Will get you a bunch of sets.

  5. No-data
    • 2 years ago
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    Thank you wio.

  6. wio
    • 2 years ago
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    @No-data It's gonna be a lot bigger than that.

  7. No-data
    • 2 years ago
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    My bad, you're right it has to be 7 elements.

  8. wio
    • 2 years ago
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    \[ |T| = 3 \\ |\mathcal P(T)| = 2^{|T|} = 2^3 = 8 \]You only gonna be taking out \(\{1,2\}\) so it should be 7 elements.

  9. No-data
    • 2 years ago
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    Maybe I should take a rest lol.

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