- 2 Let A And B Be Non Empty Sets With A C B And Assume B Is Bounded A Prove That Inf B Inf A Sup A Sup B 1 (40.84 KiB) Viewed 41 times
2. Let A and B be non-empty sets with A C B, and assume B is bounded. (a) Prove that inf(B) < inf(A) < sup(A) < sup(B).
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2. Let A and B be non-empty sets with A C B, and assume B is bounded. (a) Prove that inf(B) < inf(A) < sup(A) < sup(B).
2. Let A and B be non-empty sets with A C B, and assume B is bounded. (a) Prove that inf(B) < inf(A) < sup(A) < sup(B). (b) Prove or disprove: There exists some A, B with A Ç B (i.e. A is a subset of B but NOT equal to B) where all of the above inequalities are tight (i.e. they can all be equal).
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