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A={1,2,3,4,5,6,7,8,9 B={ 2,4,6,8 } C={...

A={1,2,3,4,5,6,7,8,9 B={ 2,4,6,8 } C={1,3,5 7,9} `( A cup (B cup C ))`=_____.

A

A

B

B

C

`B cap C`

D

`A cap C`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find \( A \cup (B \cup C) \). ### Step 1: Identify the sets - Set \( A = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \) - Set \( B = \{2, 4, 6, 8\} \) - Set \( C = \{1, 3, 5, 7, 9\} \) ### Step 2: Find \( B \cup C \) To find \( B \cup C \), we combine all the unique elements from both sets \( B \) and \( C \). - Elements in \( B \): \( 2, 4, 6, 8 \) - Elements in \( C \): \( 1, 3, 5, 7, 9 \) Now, combine them: \[ B \cup C = \{2, 4, 6, 8\} \cup \{1, 3, 5, 7, 9\} = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \] ### Step 3: Find \( A \cup (B \cup C) \) Now we need to find \( A \cup (B \cup C) \). - Set \( A \): \( \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \) - Set \( B \cup C \): \( \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \) Now, combine them: \[ A \cup (B \cup C) = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \cup \{1, 2, 3, 4, 5, 6, 7, 8, 9\} = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \] ### Final Answer Thus, \( A \cup (B \cup C) = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \). ---
To solve the problem, we need to find \( A \cup (B \cup C) \). ### Step 1: Identify the sets - Set \( A = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \) - Set \( B = \{2, 4, 6, 8\} \) - Set \( C = \{1, 3, 5, 7, 9\} \) ### Step 2: Find \( B \cup C \) ...
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