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The image shows a few set-theoretic expressions that involve unions (∪), intersections (∩), and complements (denoted with a bar over the set name). Here's a breakdown of each expression:

**5.**  
a. \( M \cup P \)  
b. \( M \cap \overline{P} \)

**6.**  
a. \( P \cap C \)  
b. \( \frac{P \cup C}{P} \) (This seems to involve a fraction with a union and an intersection/complement, but its exact meaning might depend on the specific context or notation used in the textbook).

Would you like me to help with solving or interpreting any of these? Feel free to clarify if needed!

Here are 5 related questions you might consider next:
1. What are the rules for simplifying the union and intersection of sets?
2. How do you interpret the complement of a set in set theory?
3. What is the De Morgan's Law for sets, and how does it apply to these expressions?
4. How can you visualize the operations on sets using Venn diagrams?
5. What is the significance of distributive properties between union and intersection?

**Tip:** When solving problems involving set theory, always draw a Venn diagram to visualize the relationships between sets, which makes it easier to verify your solutions.

The image contains set-theoretic expressions involving unions (∪), intersections (∩), and complements (denoted with a bar over the set). Expressions: M ∪ P, M ∩ P̅, P ∩ C, and P ∪ C.

This guide covers the solution to set-theoretic expressions involving union (M ∪ P), intersection with complement (M ∩ P̅), and more. Explore key set theory concepts such as union, intersection, and complements. Suitable for high school students in Grades 10-12.

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