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Let r be the relation r = (a b) a b on the set of integers. Find r-1.

User Lkatiforis
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Final answer:

The inverse of a relation r, denoted as r^-1, involves swapping the elements of the ordered pairs in the original relation. Since specific pairs of r are not provided, we cannot list the pairs of r^-1; we only know that if r consists of pairs (a, b), then r^-1 consists of pairs (b, a).

Step-by-step explanation:

To find r-1, which represents the inverse of a relation r, we need to understand that an inverse relation swaps the elements of the ordered pairs in the original relation. So, if r consists of pairs (a, b), then r-1 will consist of pairs (b, a). Consider that the set of integers for r implies that a and b are integers.

Since the relation hasn't been explicitly stated, we'll assume that r represents some sort of operation or relationship between two integers. To find the inverse relation, one would take each pair in r and swap the first and second elements to get the inverse pairs for r-1.

However, the question as presented doesn't provide enough specific information to determine the actual pairs in the relation. Without specifics, we can only say that the inverse relation r-1 consists of taking any pair in r and reversing their order.

User Riajur Rahman
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