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Let A and B be sets of real numbers such that A ⊂ B. Find...

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Advance Math

Let A and B be sets of real numbers such that A ⊂ B. Find arelation among inf A, inf B, sup A, and sup B.

Let A and B be sets of real numbers and write C = A ∪ B. Find arelation among sup A, sup B, and sup C.

Let A and B be sets of real numbers and write C = A ∩ B. Find arelation among sup A, sup B, and sup C.

Answer & Explanation Solved by verified expert
3.8 Ratings (346 Votes)
1 Since sup B is an upper bound of B and A B it follows that sup B is an upper bound of A so sup A sup B similarly inf B is a lower bound of B and A B it    See Answer
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