Consider the set = Is 2 € A? Is 7 € A? Is {2,4,5} = A? Is {2,4,5} = A? Is ØE A? Is Ø A? {{2,4,5}, 3, 7}. Answer the following questions. What is the cardinality of A?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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### Set Theory Quiz

Consider the set \( A = \{ \{2, 4, 5\}, 3, 7 \} \). Answer the following questions.

1. Is \( 2 \in A \)?
2. Is \( 7 \in A \)?
3. Is \(\{2, 4, 5\} \in A \)?
4. Is \(\{2, 4, 5\} \subseteq A \)?
5. Is \(\emptyset \in A \)?
6. Is \(\emptyset \subseteq A \)?

7. What is the cardinality of \( A \)?
Transcribed Image Text:### Set Theory Quiz Consider the set \( A = \{ \{2, 4, 5\}, 3, 7 \} \). Answer the following questions. 1. Is \( 2 \in A \)? 2. Is \( 7 \in A \)? 3. Is \(\{2, 4, 5\} \in A \)? 4. Is \(\{2, 4, 5\} \subseteq A \)? 5. Is \(\emptyset \in A \)? 6. Is \(\emptyset \subseteq A \)? 7. What is the cardinality of \( A \)?
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