To determine the sum of all the elements in the range for the given relation \(\(\{(0, 5), (9, 2), (7, 1), (6, 3)\}\)\), follow these steps:
1. Identify the range elements in the given relation. The range elements are the second elements in each ordered pair:
- For the pair (0, 5), the second element is 5.
- For the pair (9, 2), the second element is 2.
- For the pair (7, 1), the second element is 1.
- For the pair (6, 3), the second element is 3.
2. List all the range elements:
- 5
- 2
- 1
- 3
3. Sum these range elements:
\(\[
5 + 2 + 1 + 3
\]\)
4. Calculate the sum step-by-step:
\(\[
5 + 2 = 7
\]\)
\(\[
7 + 1 = 8
\]\)
\(\[
8 + 3 = 11
\]\)
So, the sum of all the elements in the range is \(\(11\)\).
