3. Let S and T be non-empty subsets of R. (a) Prove that if S CT, then inf T < inf S.
3. Let S and T be non-empty subsets of R. (a) Prove that if S CT, then inf T < inf S.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Let S and T be non-empty subsets of R.
(a) Prove that if SCT, then inf T < inf S.
(b) Let t > 0 and set
tS = {tæ : x E S}. Show that sup(tS) =t sup S.
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