Question

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

Answer 1

Sorry, I thought I would be an interesting question but I just saw that is an easy one.

Answer 2

\[
T - \mathcal P(T)
\]Will give you \[
\{1, 2\}
\]

Answer 3

Yeah and the other side is \(\{\emptyset, \{1\},\{2\}\}\)

Answer 4

Yet \[
\mathcal P(T) - T
\]Will get you a bunch of sets.

Answer 5

Thank you wio.

Answer 6

@No-data It's gonna be a lot bigger than that.

Answer 7

My bad, you're right it has to be 7 elements.

Answer 8

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

Answer 9

Maybe I should take a rest lol.