Question

{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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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.

Answer 5

\[\large\rm \mathcal P(S)=\{\{\},~\{1\},~\{2\},~\{1,2\}\}\]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

Answer 6

@ganeshie8

Answer 7

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

Answer 8

100%

Answer 9

nice

gimme medal pls

Answer 10

for what?