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Problem 85: (Infimums And Supremums Of Subsets Of Integers Are Integers)

Suppose that $S$ is a subset of the integers. Both of the statements below are true.

  1. If $S$ is bounded below, then the infimum of $S$ is the minimum of $S$.
  2. If $S$ is bounded above, then the supremum of $S$ is a the maximum of $S$.

Prove one of the statements above is true.

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