Question
2. Suppose ACB and A‡ Ø. Prove that
(a) if B is bounded below, then so is A, and inf A ≥ inf B.
(b) if B is bounded above, then so is A, and sup A ≤ sup B.
3 Sunnose A is a nonempty set of F that is bounded above in F, and let
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Transcribed Image Text:2. Suppose ACB and A‡ Ø. Prove that (a) if B is bounded below, then so is A, and inf A ≥ inf B. (b) if B is bounded above, then so is A, and sup A ≤ sup B. 3 Sunnose A is a nonempty set of F that is bounded above in F, and let
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