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What is the inverse of the relation {(2,3), (4,5)}?

  1. {(2, 5), (3,4)}

  2. {(3, 2), (5,4)}

  3. {(2, 5), (4,3)}

  4. {(3, 2), (4,5)}

The correct answer is: {(3, 2), (5,4)}

The inverse of a relation is found by swapping the first and second elements of each ordered pair. In this case, the inverse of {(2,3), (4,5)} would be {(3,2), (5,4)}. Option A is incorrect because it swaps the elements of each pair, but does not change the order of the pairs. Option C is incorrect because it swaps the elements of each pair, but also changes the order of the pairs. Option D is incorrect because it only swaps the first element of each pair, but does not change the order of the pairs.