Pregunta
Use counting to determine the whole number that corresponds to the cardinality of the set. \( A=\{7,9,11,13,15\} \) A. \( n(A)=5 \) B. \( n(A)=15 \) C. \( n(A)=4 \) D. \( n(A)=13 \)
Ask by Wells Watkins. in the United States
Mar 18,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The set \( A = \{7, 9, 11, 13, 15\} \) has 5 elements. So, \( n(A) = 5 \).
Solución
To determine the cardinality of the set \( A = \{7, 9, 11, 13, 15\} \), we need to count the number of distinct elements in the set.
1. **Identify the elements in the set**: The elements are 7, 9, 11, 13, and 15.
2. **Count the elements**:
- 7 (1)
- 9 (2)
- 11 (3)
- 13 (4)
- 15 (5)
There are a total of 5 distinct elements in the set \( A \).
Thus, the cardinality \( n(A) \) is 5.
The correct answer is:
A. \( n(A) = 5 \)
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Beyond the Answer
The set \( A \) contains the elements \( 7, 9, 11, 13, 15 \). If we count the elements one by one, we see that there are exactly five numbers in this set. Therefore, the correct cardinality is \( n(A) = 5 \). So the correct answer is: A. \( n(A)=5 \).

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