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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

 May 13, 2019
 #1
avatar+8963 
+3

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. 

 May 14, 2019
 #2
avatar+342 
0

Thank you!

Btw the ⊂ symbol means just a subset 

Dimitristhym  May 14, 2019

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