Question

bounded and unbounded sets of real anaylysis
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Answer 1

Answer:

The set S is bounded above if there exist a number u ∈ R such that s ≤ u for all s ∈ S. ... A set S is bounded if it is both bounded above and below. A set is unbounded if it is not bounded.

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Answer 2

The set S is bounded below if there exists a number w ∈ R such that w ≤ s for all s ∈ S. Each such w is called a lower bound of S. ... A set S is bounded if it is both bounded above and below. A set is unbounded if it is not bounded.