let a and b be nonempty subsets of r that are bounded above suppose that sup a sup b prove that

Name: let a and b be nonempty subsets of r that are bounded above suppose that sup a sup b prove that supa b sup b 83602
Uploaded: 2022-03-07T07:53:19-08:00
Duration: 1 min 58 s
Channel: Vincenzo Zaccaro
Description: let a and b be nonempty subsets of r that are bounded above suppose that sup a sup b prove that supa b sup b 83602

Question

Brent Burkett · Accepted Answer

Step 1: Since B is a nonempty set that is bounded above, sup B exists.

Question

Let A and B be nonempty subsets of ℝ that are bounded above. Suppose that sup A ≤ sup B. Prove that sup(A ∪ B) = sup B.

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