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IfA={1, 2, 3, 4, 5, 6} B={2, 4, 5, 6, 8,...

If`A={1, 2, 3, 4, 5, 6} B={2, 4, 5, 6, 8, 9, 10}, "find" ADeltaB`.

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To find \( A \Delta B \) (the symmetric difference of sets A and B), we can follow these steps: ### Step 1: Define the sets We have: - Set \( A = \{1, 2, 3, 4, 5, 6\} \) - Set \( B = \{2, 4, 5, 6, 8, 9, 10\} \) ### Step 2: Identify the common elements We need to find the elements that are common to both sets \( A \) and \( B \): - Common elements: \( 2, 4, 5, 6 \) ### Step 3: Find the elements in \( A \) but not in \( B \) Now, we will find the elements that are in \( A \) but not in \( B \): - \( A - B = \{1, 3\} \) (since 1 and 3 are not in set B) ### Step 4: Find the elements in \( B \) but not in \( A \) Next, we will find the elements that are in \( B \) but not in \( A \): - \( B - A = \{8, 9, 10\} \) (since 8, 9, and 10 are not in set A) ### Step 5: Combine the results Now, we combine the results from steps 3 and 4 to find \( A \Delta B \): - \( A \Delta B = (A - B) \cup (B - A) = \{1, 3\} \cup \{8, 9, 10\} \) ### Step 6: Write the final answer Thus, the symmetric difference \( A \Delta B \) is: - \( A \Delta B = \{1, 3, 8, 9, 10\} \)
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