Pregunta
Question Let \( A \) be the set of whole numbers bigger than 3 and smaller than 10 and \( B \) the set of positive whole numbers smaller than 8. Which of the following sets is equal to \( A \cup B \) ? Select the correct answer below: \{3,4,5,6,7,8,9\} \( \{\{1,2,3,4,5,6,7,8,9\} \) \( \{1,2,3,4,5,6,7\} \) \( \{1,2,3,4,5,6,7,8\} \)
Ask by Osborne Lane. in the United States
Mar 09,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( A \cup B = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \)
Solución
To find the set \( A \cup B \), we need to find the union of sets \( A \) and \( B \).
Set \( A \) consists of whole numbers bigger than 3 and smaller than 10, which means \( A = \{4, 5, 6, 7, 8, 9\} \).
Set \( B \) consists of positive whole numbers smaller than 8, which means \( B = \{1, 2, 3, 4, 5, 6, 7\} \).
The union of sets \( A \) and \( B \) is the set of all elements that are in \( A \) or in \( B \) or in both. Therefore, \( A \cup B = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \).
So, the correct answer is \( \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
First, let's define the sets \( A \) and \( B \). Set \( A \) includes whole numbers greater than 3 and less than 10, which are \( \{4, 5, 6, 7, 8, 9\} \). Set \( B \) comprises positive whole numbers less than 8, which are \( \{1, 2, 3, 4, 5, 6, 7\} \). Now, when we find the union \( A \cup B \), we combine all unique elements from both sets. The resulting union is \( \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \). The correct answer from the options provided is \( \{3,4,5,6,7,8,9\} \).

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