# 0 and empty sets

• Nov 14th 2011, 06:39 AM
maclunian
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.
• Nov 14th 2011, 06:47 AM
Plato
Re: 0 and empty sets
Quote:

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 $0\notin\emptyset~\&~\{\emptyset\}\notin\emptyset$