1. **Problem:** Find the inverse of the relation \(\{(1, -3), (-2, 3), (5, 1), (6, 4)\}\). 2. **Understanding Inverse Relations:** The inverse of a relation swaps each ordered pair's components. If the original relation has pairs \((x, y)\), the inverse relation has pairs \((y, x)\). 3. **Step:** Swap each pair: \(\{(1, -3), (-2, 3), (5, 1), (6, 4)\} \to \{(-3, 1), (3, -2), (1, 5), (4, 6)\}\). 4. **Answer:** The inverse relation is \(\{(-3, 1), (3, -2), (1, 5), (4, 6)\}\). This completes the solution for the first problem.