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Prove that if u is a least upper bound for a subset 5 of JR, then 2u is a least upper
Chapter 31, Problem 31.5(choose chapter or problem)
QUESTION:
Prove that if u is a least upper bound for a subset 5 of JR, then 2u is a least upper bound for{2x : XES}.
Questions & Answers
QUESTION:
Prove that if u is a least upper bound for a subset 5 of JR, then 2u is a least upper bound for{2x : XES}.
ANSWER:Step 1 of 2
Definition: (least upper bound). Suppose is an ordered fields and is bounded above in .
A number is called a least upper bound of If
(a) is an upper bound for , and
(b) If is any lower bound for , then