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To solve the problem shown in the image, we need to find the inverse of the relation \(\{(2, 5), (0, 6), (-3, 4)\}\).

### Step-by-Step Solution:
1. **Definition of an Inverse Relation**: The inverse of a relation is found by swapping the first and second elements in each ordered pair.

2. **Apply the Inversion**:
   - For the pair \((2, 5)\), its inverse is \((5, 2)\).
   - For the pair \((0, 6)\), its inverse is \((6, 0)\).
   - For the pair \((-3, 4)\), its inverse is \((4, -3)\).

   So, the inverse relation is:
   \[
   \{(5, 2), (6, 0), (4, -3)\}
   \]

### Answer:
The correct answer is the first option: \(\{(5, 2), (6, 0), (4, -3)\}\).

Would you like further clarification on any steps?

Here are five related questions:
1. What is the inverse of the set \(\{(1, 3), (4, 2)\}\)?
2. How do you determine if a relation has an inverse?
3. Can all functions have an inverse? Why or why not?
4. What is the difference between a function and its inverse in graphical terms?
5. How do you find the inverse of a function algebraically?

**Tip**: The inverse of a relation may not always be a function unless the original relation passes the horizontal line test (ensuring it’s one-to-one).

What is the inverse of {(2, 5), (0, 6), (-3, 4)}?

Learn how to find the inverse of a relation with a step-by-step solution. This problem involves swapping the elements of ordered pairs to find the inverse. Suitable for students in Grades 6-8 and covers key concepts in inverse relations.

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