I'm having trouble understanding what the $A$ stand for. That's the only place $A$ is mentioned, without knowing what it is, I can't solve the rest of the exercise.
$V = \{ X \in P(A) \mid |X| \text{ is odd}\},$
Thanks for your help
I'm having trouble understanding what the $A$ stand for. That's the only place $A$ is mentioned, without knowing what it is, I can't solve the rest of the exercise.
$V = \{ X \in P(A) \mid |X| \text{ is odd}\},$
Thanks for your help
Suppose that $A$ is a set, then $P(A)$ is the collection of all subsets of $A$. This means that $V$ in your question is the collection of all subsets of $A$ that has an odd number of elements.
For example, if $A$ is the set $\{0,1,2\}$ then $V=\{\{0\},\{1\},\{2\},\{0,1,2\}\}$.
Without further context it is hard to tell what $A$ means exactly, though. I suppose it is a general set on which you are supposed to prove some statement.