## anonymous one year ago {2} subset Power set({1, 2}) True or False I think this question is asking if the set 2 is in the power set of {1, 2}. I say True because the power set is {}, {1}, {2}, {1,2} and {2} is an element of the power set. I was just thrown off by the {2} at the start of the problem because normally id just read it asking is 2 a subset of ..... and i dont know if {2} makes a difference

1. zepdrix

So if you have a set $$\large\rm S=\{1,2\}$$ Then subsets of $$\large\rm S$$ are going to be: $$\large\rm \{\},~\{1\},~\{2\},~\{1,2\}$$ And the power set is the set containing all of those sets, ya? So they're asking if {2} is a subset of that power set. Hmm boy I always get confused by these... I want to say that {2} is an element of of the power set, but not a subset of it. I might be completely wrong though :P Bah I find sets confusing... set imma go look it up lol

2. anonymous

If the set only consists of 2 and it is an element of the power set, then isnt it technically a subset of the power set. That is what i think so i think its true but am not sure

3. anonymous

i think you and i are thinking the same thing and also tripped up by the same confusing part

4. zepdrix

ya :) sorry i don't have a great understanding of this yet. this video is really helping me to get a grasp on it though, https://www.youtube.com/watch?v=RzMLWDiC9No if you care to check it out.

5. zepdrix

$\large\rm \mathcal P(S)=\{\{\},~\{1\},~\{2\},~\{1,2\}\}$So then, $$\large\rm \{\{2\}\}\subset\mathcal{P}(S)$$ But I don't think {2} is a subset of P(S). Hmm. Need some expertise. @zzr0ck3r

6. zepdrix

@ganeshie8

7. ganeshie8

Exactly, $$\{2\}$$ is an element of powerset, not a subset. $$\{2\} \in \mathcal{P}(S)$$

8. zzr0ck3r

100%

9. anonymous

nice gimme medal pls

10. zzr0ck3r

for what?