https://file.aiquickdraw.com/mathbot/file/1726672525161g7pxcdnq.jpg

The problem provides two sets:

- \( A = \{ 1, 2, 3, 4, 5, 6 \} \)
- \( B = \{ 1, 2, 3, 4, 5, 6, 7, 8, 9 \} \)

It states that the relation from \( A \) to \( B \) is described as "three less than" (\( x \in A \) is related to \( y \in B \) if \( y = x + 3 \)).

### a. You are asked to represent this relation in three forms:
1. **Ordered pairs**: List all pairs \( (x, y) \) where \( y = x + 3 \).
   
   The ordered pairs are:
   \[
   (1, 4), (2, 5), (3, 6), (4, 7), (5, 8), (6, 9)
   \]

2. **Arrow diagram**: In this diagram, draw an arrow from each element of set \( A \) to the corresponding element in set \( B \), where \( y = x + 3 \).

3. **Cartesian diagram**: Plot the pairs on a Cartesian plane, where the elements of set \( A \) are on the x-axis and the elements of set \( B \) are on the y-axis, representing each pair as a point.

Let me know if you'd like me to generate diagrams or further clarify the solution. Would you like more details on any part of the problem?

Here are some relative questions to explore:
1. What is the general form of a relation between two sets?
2. How do we define the domain and range in relations?
3. Can you describe the difference between a function and a general relation?
4. How would the relation change if the condition was “five more than” instead of “three more than”?
5. How can we represent relations with a matrix?

**Tip**: When working with relations, always ensure to check the condition carefully to correctly define the ordered pairs.

Relasi dari himpunan A ke B dengan syarat y = x + 3, dan bagaimana menggambarkan relasi dalam bentuk pasangan berurutan, diagram panah, dan diagram Cartesius.

Mempelajari relasi antara himpunan A = {1, 2, 3, 4, 5, 6} dan himpunan B = {1, 2, 3, 4, 5, 6, 7, 8, 9}, dengan kondisi y = x + 3. Menggambarkan relasi ini dalam bentuk pasangan berurutan, diagram panah, dan diagram Cartesius, sesuai dengan kurikulum tingkat SMP (Grades 7-9).

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