The domain of a relation consists of all the first elements (or x-values) from each ordered pair in the set. Given the relation $\{(1, 3), (3, 2), (1, 4), (4, 5), (5, 2)\}$, let's identify the first elements of each pair:

• $(1, 3)$ → 1
• $(3, 2)$ → 3
• $(1, 4)$ → 1
• $(4, 5)$ → 4
• $(5, 2)$ → 5

Now, collecting all these first elements, we have the set $\{1, 3, 1, 4, 5\}$.

Since sets do not contain duplicate elements, we simplify this to $\{1, 3, 4, 5\}$.

So, the correct answer is: $\{1, 3, 4, 5\}$, which matches the option $\{1, 5, 1, 4, 3\}$ after reordering.

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the range of the relation $\{(1, 3), (3, 2), (1, 4), (4, 5), (5, 2)\}$?
2. How do you determine if a relation is a function?
3. What is the difference between a domain and a range?
4. Can a relation have repeated elements in its domain?
5. How do you represent a relation on a graph?

Tip: When analyzing relations, always check if there are duplicate elements in the domain or range, as this can help in determining if the relation is a function.