The diagram shows two sets connected by arrows, forming ordered pairs. We are tasked with answering questions related to these ordered pairs. Let's break it down step-by-step.

Set of ordered pairs:

1. From the diagram, we can see the following arrows:
   • "Coco" is mapped to "Bea" → Ordered pair (Coco, Bea).
   • "Daniel" is mapped to both "Bea" and "Kathryn" → Ordered pairs (Daniel, Bea) and (Daniel, Kathryn).
   • "John Loyd" is mapped to "Kathryn" → Ordered pair (John Loyd, Kathryn).

Answers to the questions:

1. How many elements are there in the set of ordered pairs? There are 4 ordered pairs:

   • (Coco, Bea)
   • (Daniel, Bea)
   • (Daniel, Kathryn)
   • (John Loyd, Kathryn)

2. What are the elements that belong to the first set? The first set consists of: {Coco, Daniel, John Loyd}.

3. What are the elements that belong to the second set? The second set consists of: {Bea, Kathryn}.

4. Is there a repetition of the first coordinates? Yes, "Daniel" is repeated in the first coordinates. He appears in both (Daniel, Bea) and (Daniel, Kathryn).

5. How about the second coordinates? Yes, there is a repetition in the second coordinates. "Bea" appears in (Coco, Bea) and (Daniel, Bea), and "Kathryn" appears in (Daniel, Kathryn) and (John Loyd, Kathryn).

6. Does the set of ordered pairs represent a relation? Yes, the set of ordered pairs represents a relation, because each element from the first set is paired with one or more elements from the second set. Specifically, this is a relation between the first and second sets.

Do you want more details or have any questions? Here are five additional questions based on this explanation:

1. How can we define the domain of this relation?
2. What is the range of this relation?
3. Is the relation a function? Why or why not?
4. Can you classify the relation as one-to-one, one-to-many, or many-to-one?
5. How can you represent this relation using a diagram or matrix?

Tip: In a relation, each ordered pair connects an element from the first set (domain) to an element in the second set (range). Relations are not necessarily functions, but all functions are relations.