the complement of the intersection of x and y. Write the statement in symbols.

The complement of the intersection of sets \( X \) and \( Y \) can be written symbolically as:

\[
(X \cap Y)^c
\]

This represents all elements that are **not** in the intersection of \( X \) and \( Y \).

Would you like more details or further clarification?

Here are 5 related questions:
1. How do you express the union of sets \( X \) and \( Y \) in symbols?
2. What is the complement of the union of sets \( X \) and \( Y \)?
3. How can De Morgan's laws help simplify set complements?
4. What is the relationship between set complements and Venn diagrams?
5. How can you represent the difference between two sets?

**Tip:** De Morgan’s laws are very useful for expressing complements of intersections and unions in set theory!

The complement of the intersection of x and y. Write the statement in symbols.

Understand how to express the complement of the intersection of sets X and Y using set theory symbols. This explanation covers fundamental concepts like set intersection, complement, and De Morgan's laws. Suitable for high school students in Grades 10-12.

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