# Thread: Quicky Question involving sets

1. ## Quicky Question involving sets

{a,b,c{a,b}} \ P(A)

is the {a} in the power set = to the a in the left side of the equation, or should {a} and a be considered completely different objects?

Thanks

2. Originally Posted by Eclyps19
{a,b,c{a,b}} \ P(A) is the {a} in the power set = to the a in the left side of the equation, or should {a} and a be considered completely different objects?
As written the question is almost unreadable!
First, should it be {a,b,c,{a,b}}?
Next, what is the set A? Without knowing that, P(A) is meaningless!

3. sorry, I'm sitting in class right now and my math teacher really doesn't know his stuff.

Say I have {a,b,c,{a,b}} \ P(a,b,c,{a,b}}. When pulling out the elements for the power set, I will eventually come to a {a}. Does this {a} = a from the original? I'm debating my teacher saying that these should be equal, since you're basically saying the element of a is = to the element of a. He keeps bringing up empty set is not equal to {empty set}.

Is this any better? Sorry

4. {a,b,c,{a,b}} \ P(a,b,c,{a,b}}={a,b,c}
The only subset of {a,b,c,{a,b}} to be removed is the subset {a,b}.

5. alright that's all I needed. Thank you very much