If A = {2, {4, 5}, 4}. True or false:
1. {4, 5} ⊂ A
2. {4, 5} ∈ A
3. {{4, 5}} ⊂ A
4. {2} ⊂ A
5. {2} ∈ A
6. 2 ∈ A
7.{{4, 5}}∈ A
I think
1) True
2) True
3) False
4) True
5) False
6) True
7) False
If A = {2, {4, 5}, 4}, true or false:
statement  restating the statement  answer  _____because... 
 
1.___  {4, 5} ⊂ A_____  {4, 5} is a subset of A  _____False_____  5 is not an element of A.  
2.  {4, 5} ∈ A  {4, 5} is a element of A  True  The set {4, 5} is an element of A. 

3.  {{4, 5}} ⊂ A  {{4,5}} is a subset of A  True  The set {4, 5} is an element of A.  
4.  {2} ⊂ A  {2} is a subset of A  True  2 is an element of A 

5.  {2} ∈ A  {2} is an element of A  False  The set {2} is not an element of A.  
6.  2 ∈ A  2 is an element of A  True  2 is an element of A 

7.  {{4, 5}} ∈ A  {{4, 5}} is an element of A  False  The set of the set {4, 5} is not an element of A 
Our answers are different on 1 and 3.
Also...I don't know if the ⊂ symbol means a proper subset or just a subset, but it doesn't really matter for these questions.