Expert: Paul Klarreich - 9/18/2009

Question
Which statement is false?  
   a  ∈  {a, b, c}  
  Ø ⊂ {a, b, c}  
  Ø ⊆ {a, b, c}  
  Ø ∈ {a, b, c}  

Answer
Questioner: Donna
Country: United States
Category: Advanced Math
Private: Yes  << No.  I change this automatically.
Subject: this question has me stumped
Question: Which statement is false?  
 a ∈  {a, b, c}  
 Ø ⊂ {a, b, c}  
 Ø ⊆ {a, b, c}  
 Ø ∈ {a, b, c}  
..........................................
Here is how to get 'unstumped':  Write each sentence out in full English words, no symbols, such as:

 a ∈  {a, b, c}  
"The object a is a member of the set containing the objects a,b, and c."

 Ø ⊂ {a, b, c}  

"The empty set is a proper subset of the set containing the objects a,b, and c."

etc.

Try that.  Send me the results and let me know if you are still stumped.