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The image asks to "Give examples of three sets \( A \), \( B \), and \( C \) such that \( B \neq C \) but \( B - A = C - A \)."

### Explanation:

- \( B - A \) is the **set difference**, meaning elements in \( B \) that are not in \( A \).
- \( C - A \) similarly represents the elements in \( C \) that are not in \( A \).

You are asked to find sets \( B \) and \( C \) that are not equal, yet the elements of \( B \) that are outside \( A \) are the same as the elements of \( C \) that are outside \( A \).

### Example:

Let’s define three sets:

- \( A = \{1, 2\} \)
- \( B = \{1, 2, 3\} \)
- \( C = \{1, 2, 4\} \)

Now, let’s compute the set differences:

- \( B - A = \{3\} \) (the element in \( B \) that is not in \( A \))
- \( C - A = \{4\} \) (the element in \( C \) that is not in \( A \))

Clearly, \( B \neq C \) since \( B = \{1, 2, 3\} \) and \( C = \{1, 2, 4\} \), but their set differences with \( A \) are different, not equal, so this example **does not work**.

Let’s adjust this approach by modifying \( B \) and \( C \).

#### Correct Example:

Let:
- \( A = \{1, 2\} \)
- \( B = \{1, 2, 3\} \)
- \( C = \{1, 2, 3, 4\} \)

Now, compute the set differences:
- \( B - A = \{3\} \)
- \( C - A = \{3, 4\} \)

For the condition to hold, we'd have to revise these further. Would you like to continue based

Give examples of three sets A, B, and C such that B ≠ C but B - A = C - A.

Explore examples of three sets A, B, and C where B ≠ C but B - A equals C - A. This problem covers key set theory concepts, such as set difference and the properties of set operations, suitable for students in Grades 9-12.

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