## anonymous 3 years ago Let the set T be $$T:=\{1,2,\{1,2\}\}$$. Is this true: $T-\wp T=\wp T - T$

1. anonymous

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

2. anonymous

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

3. anonymous

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

4. anonymous

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

5. anonymous

Thank you wio.

6. anonymous

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

7. anonymous

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

8. 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.

9. anonymous

Maybe I should take a rest lol.