https://file.aiquickdraw.com/mathbot/file/1728802676716qgqlx0h3.jpg

The image presents a mathematics or set theory problem in Indonesian. Here's a breakdown of the key points:

- The title of the slide is **"Komplemen"** (Complement in English).
- The problem involves three sets:
  - **P** = {x | x is a letter or alphabet character} (P represents the set of all alphabet letters).
  - **Q** = {d, e, f, g}
  - **R** = {a, e, i, o, u}
- The task is to determine the complements of sets **Q** and **R** within the universal set **P**.

### Steps:
1. **Complement of Q**: 
   - The complement of a set consists of all elements in the universal set **P** that are not in **Q**.
   - So, **Q'** (complement of Q) = P - Q = {all letters except d, e, f, g}.

2. **Complement of R**:
   - Similarly, the complement of set **R** is all the letters in **P** that are not in **R**.
   - **R'** (complement of R) = P - R = {all letters except a, e, i, o, u}.

Would you like me to proceed with detailed calculations for these complements? Let me know if you have any questions!

### 5 Related Questions:
1. What is the general formula for finding the complement of a set?
2. Can a set have more than one complement depending on the universal set?
3. How does the intersection of complements relate to De Morgan's laws?
4. What are the differences between complement and subset in set theory?
5. Can you determine the complement of a set using a Venn diagram?

### Tip:
Always ensure you clearly define the universal set when working with complements, as this directly affects the outcome!

Determine the complements of sets Q and R within the universal set P, given the following sets: P = {x | x is an alphabet}, Q = {d, e, f, g}, and R = {a, e, i, o, u}.

This problem focuses on finding the complements of sets Q = {d, e, f, g} and R = {a, e, i, o, u} within the universal set P (the alphabet). Explore key set theory concepts and the formula for set complements. Suitable for high school students.

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