0 and empty sets

**maclunian** · November 14th 2011, 06:39 AM

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.

**Plato** · November 14th 2011, 06:47 AM

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.

Your answer is correct.
The $\emptyset$ contains nothing, so $0\notin\emptyset~\&~\{\emptyset\}\notin\emptyset$

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0 and empty sets

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