+343 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
+9481 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.
