To determine the numbers that are in the domain of the relation [tex]\( R = \{ (-3, -2), (-3, 0), (-1, 2), (1, 2) \} \)[/tex], we need to identify all of the unique first elements of the ordered pairs in [tex]\( R \)[/tex].
Let's examine each pair:
1. The first pair is [tex]\((-3, -2)\)[/tex]:
- The first element is [tex]\(-3\)[/tex].
2. The second pair is [tex]\((-3, 0)\)[/tex]:
- The first element is [tex]\(-3\)[/tex].
3. The third pair is [tex]\((-1, 2)\)[/tex]:
- The first element is [tex]\(-1\)[/tex].
4. The fourth pair is [tex]\((1, 2)\)[/tex]:
- The first element is [tex]\(1\)[/tex].
Next, we collect all the unique first elements from these pairs:
- From [tex]\((-3, -2)\)[/tex], we have [tex]\(-3\)[/tex].
- From [tex]\((-3, 0)\)[/tex], we again have [tex]\(-3\)[/tex] (which is already noted).
- From [tex]\((-1, 2)\)[/tex], we have [tex]\(-1\)[/tex].
- From [tex]\((1, 2)\)[/tex], we have [tex]\(1\)[/tex].
The unique first elements (i.e., the domain) are:
[tex]\[
\{-3, -1, 1\}
\][/tex]
So, the numbers that are in the domain from the list provided are:
[tex]\[
-3, -1, 1
\][/tex]
