Let's consider the set of ordered pairs:
[tex]\[
\{(-2,4),(0,2),(-1,3),(4,-2)\}
\][/tex]
We are interested in extracting the elements from these ordered pairs, specifically the first elements and the second elements. Let's break this down step-by-step:
1. Identifying the First Elements:
- Look at each ordered pair and take the first number in each pair.
- For [tex]\( (-2, 4) \)[/tex], the first element is [tex]\( -2 \)[/tex].
- For [tex]\( (0, 2) \)[/tex], the first element is [tex]\( 0 \)[/tex].
- For [tex]\( (-1, 3) \)[/tex], the first element is [tex]\( -1 \)[/tex].
- For [tex]\( (4, -2) \)[/tex], the first element is [tex]\( 4 \)[/tex].
Collecting all the first elements, we get:
[tex]\[
\{-2, 0, -1, 4\}
\][/tex]
2. Identifying the Second Elements:
- Look at each ordered pair and take the second number in each pair.
- For [tex]\( (-2, 4) \)[/tex], the second element is [tex]\( 4 \)[/tex].
- For [tex]\( (0, 2) \)[/tex], the second element is [tex]\( 2 \)[/tex].
- For [tex]\( (-1, 3) \)[/tex], the second element is [tex]\( 3 \)[/tex].
- For [tex]\( (4, -2) \)[/tex], the second element is [tex]\( -2 \)[/tex].
Collecting all the second elements, we get:
[tex]\[
\{4, 2, 3, -2\}
\][/tex]
Therefore, having extracted the required elements, the final results are:
- The set of first elements: [tex]\([-2, 0, -1, 4]\)[/tex]
- The set of second elements: [tex]\([4, 2, 3, -2]\)[/tex]
