Find the inverse of the relation.
​{(3​, 5​), ​(negative 7​, negative 1​), ​(negative 5​, 9​), ​(5, minus​5)}
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Part 1
The inverse is ​{
  
enter your response here​}.
​(Type ordered​ pairs, separated by​ commas.)

To find the inverse of a relation, we switch the \( x \)- and \( y \)-coordinates in each ordered pair.

Given relation:
\[
\{ (3, 5), (-7, -1), (-5, 9), (5, -5) \}
\]

Switching the coordinates for each pair:
1. \((3, 5) \rightarrow (5, 3)\)
2. \((-7, -1) \rightarrow (-1, -7)\)
3. \((-5, 9) \rightarrow (9, -5)\)
4. \((5, -5) \rightarrow (-5, 5)\)

So, the inverse relation is:
\[
\{ (5, 3), (-1, -7), (9, -5), (-5, 5) \}
\]

Let me know if you'd like further details or have any questions!

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**Related Questions:**
1. What is the general process for finding the inverse of a function?
2. How can you verify if two relations are inverses of each other?
3. Is the inverse of a function always a function? Explain.
4. What is the graphical interpretation of finding an inverse?
5. How does finding the inverse differ between relations and functions?

**Tip:** For an ordered pair \((a, b)\), its inverse will always be \((b, a)\), simply swapping the \( x \)- and \( y \)-values.

Find the inverse of the relation.
{(3, 5), (-7, -1), (-5, 9), (5, -5)}

Learn how to find the inverse of a relation with ordered pairs. This example explains switching x- and y-coordinates to find the inverse of {(3, 5), (-7, -1), (-5, 9), (5, -5)} and covers key concepts for Grades 8-10.

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