# Math Help - 0 and empty sets

1. ## 0 and empty sets

I'm having trouble understanding this question:

Does $0 \in \emptyset$? Does $\{ \emptyset \} \in \emptyset$. Explain Why.

No for both.

Let me know if this is correct and also let me know how this works. Im having some trouble understanding it.

2. ## Re: 0 and empty sets

Originally Posted by maclunian
I'm having trouble understanding this question:
Does $0 \in \emptyset$? Does $\{ \emptyset \} \in \emptyset$. Explain Why. My answer:
No for both.
Let me know if this is correct and also let me know how this works. Im having some trouble understanding it.
The $\emptyset$ contains nothing, so $0\notin\emptyset~\&~\{\emptyset\}\notin\emptyset$