Theorem 1.2.17 (Intervals) In an ordered field F, the following sets are intervals: (a) [a, b] = {xe F:a ≤x≤ b}; (This could be {a} or .) (b) (a, b) = {x E F:a < x
Theorem 1.2.17 (Intervals) In an ordered field F, the following sets are intervals: (a) [a, b] = {xe F:a ≤x≤ b}; (This could be {a} or .) (b) (a, b) = {x E F:a < x
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![Theorem 1.2.17 (Intervals) In an ordered field F, the following sets are
intervals:
(a) [a, b] = {x E F:a ≤x≤b}; (This could be {a} or Ø.)
(b) (a, b) = {x E F:a < x <b};
(This could be Ø.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa64964d2-4e9e-4e7a-b4e5-d527654cf960%2Fdf995246-d1e5-4eb8-883c-9ccb1a7a571e%2Fqjh4g6l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Theorem 1.2.17 (Intervals) In an ordered field F, the following sets are
intervals:
(a) [a, b] = {x E F:a ≤x≤b}; (This could be {a} or Ø.)
(b) (a, b) = {x E F:a < x <b};
(This could be Ø.)
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