Consider the following relation.

S={(8,7),(3,4),(−1,−8),(−3,−9)}
Step 1 of 2 :  Find the inverse. Express your answer as a set of ordered pairs.

The inverse of a relation is obtained by swapping the coordinates of each ordered pair in the set. For the relation \( S = \{(8,7), (3,4), (-1,-8), (-3,-9)\} \), we will swap the \( x \)- and \( y \)-coordinates of each pair.

Thus, the inverse relation \( S^{-1} \) is:

\[
S^{-1} = \{(7,8), (4,3), (-8,-1), (-9,-3)\}
\]

Let me know if you'd like further details on how this works, or if you have any other questions!

Here are 5 related questions:
1. How do you determine if a relation is a function?
2. Can a relation and its inverse both be functions?
3. What is the graphical interpretation of an inverse relation?
4. How do you find the inverse of a function algebraically?
5. What is the difference between a one-to-one function and a many-to-one function?

**Tip:** When finding the inverse of a function or relation, always ensure you swap the x- and y-values carefully, especially for negative numbers!

Consider the following relation. S={(8,7),(3,4),(−1,−8),(−3,−9)}. Step 1 of 2: Find the inverse. Express your answer as a set of ordered pairs.

Learn how to find the inverse of the relation S={(8,7),(3,4),(−1,−8),(−3,−9)} by swapping the x- and y-coordinates of each pair. This solution explains key concepts in relations and set theory, suitable for high school students in Grades 9-12.

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