The problem asks to find the domain of the relation given by the set of ordered pairs $\{(-2, 1), (-1, 2), (1, 2), (2, 3)\}$. The domain of a relation is the set of all first elements (x-coordinates) of the ordered pairs.

AlgebraRelationsDomainSet Theory
2025/3/28

1. Problem Description

The problem asks to find the domain of the relation given by the set of ordered pairs {(2,1),(1,2),(1,2),(2,3)}\{(-2, 1), (-1, 2), (1, 2), (2, 3)\}. The domain of a relation is the set of all first elements (x-coordinates) of the ordered pairs.

2. Solution Steps

To find the domain, we list the first element of each ordered pair:
- The first element of (2,1)(-2, 1) is 2-2.
- The first element of (1,2)(-1, 2) is 1-1.
- The first element of (1,2)(1, 2) is 11.
- The first element of (2,3)(2, 3) is 22.
The domain is the set of these first elements. We write them in ascending order:
{2,1,1,2}\{-2, -1, 1, 2\}.

3. Final Answer

{2,1,1,2}\{-2, -1, 1, 2\}

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