if A and B are two disjoint sets such that n(A) =126, n(B)=105, then n(A-B)

Given that \( A \) and \( B \) are two disjoint sets, this means that the sets do not overlap, so their intersection is empty: \( A \cap B = \emptyset \).

In this case, we need to calculate \( n(A - B) \), which represents the number of elements in set \( A \) that are not in set \( B \). Since \( A \) and \( B \) are disjoint, there are no elements of \( B \) in \( A \) by definition.

Thus, \( n(A - B) = n(A) \).

Given that \( n(A) = 126 \), we can conclude:

\[
n(A - B) = 126
\]

Would you like more details on set operations or disjoint sets? Here are some related questions:

1. How would the answer change if \( A \) and \( B \) were not disjoint?
2. What is the meaning of \( A \cup B \) in this case, and how is it calculated?
3. How do you represent the union and intersection of two sets?
4. What is the difference between \( A - B \) and \( B - A \)?
5. How do we calculate the cardinality of \( A \cup B \) when sets are not disjoint?

**Tip:** Disjoint sets have no common elements, which simplifies many set operations.

if A and B are two disjoint sets such that n(A) = 126, n(B) = 105, then n(A - B)

Learn how to calculate n(A - B) for two disjoint sets A and B, where n(A) = 126 and n(B) = 105. Understand the key concepts of set theory, including disjoint sets and cardinality. Suitable for students in Grades 9-11.

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