A = (1, 2, {3, 4}, (5, 6, 7}}. Select the correct value for |AJ. 0 4 O 5 0 3 0 7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The set \( A = \{1, 2, \{3, 4\}, \{5, 6, 7\}\} \). Select the correct value for \( |A| \).

- \( \circ \) 4
- \( \circ \) 5
- \( \circ \) 3
- \( \circ \) 7

**Explanation:**

The set \( A \) contains:
- The element 1
- The element 2
- The subset \( \{3, 4\} \)
- The subset \( \{5, 6, 7\} \)

The elements in \( A \) count as 4 separate entities, as subsets are considered single elements. Hence, the correct value for \( |A| \), which is the cardinality of the set, is 4.
Transcribed Image Text:The set \( A = \{1, 2, \{3, 4\}, \{5, 6, 7\}\} \). Select the correct value for \( |A| \). - \( \circ \) 4 - \( \circ \) 5 - \( \circ \) 3 - \( \circ \) 7 **Explanation:** The set \( A \) contains: - The element 1 - The element 2 - The subset \( \{3, 4\} \) - The subset \( \{5, 6, 7\} \) The elements in \( A \) count as 4 separate entities, as subsets are considered single elements. Hence, the correct value for \( |A| \), which is the cardinality of the set, is 4.
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