Find the least upper bound (if it exists) and the greatest lower bound (if it exists) for the given set.
S=[5,7]. The set of upper bound elements is the set of numbers which are greater than or equal to every element of S. So, it is [7, +inf) and the least element is 7. The set of lower bound elements is the set of numbers which are less than or equal to every element of S. So, it is (-inf, 5] and the greatest element is 5. So, Sup(S) = 7 and Inf(S) = 5.
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