A = \{1, 3, 4, 7, 8\} and B = \{2, 3, 4, 5\} then find B - A

7

To find \( B - A \), we need to determine the elements that are in set \( B \) but not in set \( A \).

Given:

- Set \( A = \{1, 3, 4, 7, 8\} \)
- Set \( B = \{2, 3, 4, 5\} \)

We will find the difference \( B - A \), which includes all elements of \( B \) that are not in \( A \):

1. **Element \( 2 \)**: This element is in \( B \) but not in \( A \). So, it is included in \( B - A \).
2. **Element \( 3 \)**: This element is in both \( B \) and \( A \). So, it is not included in \( B - A \).
3. **Element \( 4 \)**: This element is in both \( B \) and \( A \). So, it is not included in \( B - A \).
4. **Element \( 5 \)**: This element is in \( B \) but not in \( A \). So, it is included in \( B - A \).

Thus, the set \( B - A \) is:

\[
B - A = \{2, 5\}
\]

Would you like a detailed explanation or have any questions? Here are some related questions you might find interesting:

1. What is the set \( A - B \)?
2. How would you find the union of sets \( A \) and \( B \)?
3. What is the intersection of sets \( A \) and \( B \)?
4. How can we find the symmetric difference of sets \( A \) and \( B \)?
5. What does it mean for two sets to be disjoint, and are sets \( A \) and \( B \) disjoint?

**Tip:** When working with set operations, always remember to carefully identify elements that belong to each set to avoid mistakes in subtraction, union, or intersection.

Learn how to perform set subtraction B - A with clear examples and explanations. Explore the difference between sets B and A, highlighting elements unique to set B. Useful for anyone interested in set theory and mathematical operations.

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