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(c) (a,b] = {re F:a a}; (h) [a, +∞o) = {x € F: x ≥ a}; (i) (-∞, +∞0) = F. (This could be Ø.) (This could be .)

(c) (a,b] = {re F:a a}; (h) [a, +∞o) = {x € F: x ≥ a}; (i) (-∞, +∞0) = F. (This could be Ø.) (This could be .)

Advanced Engineering Mathematics
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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Prove in an ordered field, the sets are intervals.

Please, need help with all to review for exam! Especially part (g)

Thank you!!

(c) (a,b] = {x € F:a <a ≤ b); (d) [a,b) = (x € F:a <r<b}; (e) (-∞, b) = {re F:r<b}; (f) (-∞, b)] = {re F:a ≤ b); (g) (a, +∞o) = {x € F:x> a}; (h) [a, +∞o) = {x € F: x ≥ a}; (i) (-∞0, +∞0) = F. (This could be Ø.) (This could be Ø.)
Transcribed Image Text:(c) (a,b] = {x € F:a <a ≤ b); (d) [a,b) = (x € F:a <r<b}; (e) (-∞, b) = {re F:r<b}; (f) (-∞, b)] = {re F:a ≤ b); (g) (a, +∞o) = {x € F:x> a}; (h) [a, +∞o) = {x € F: x ≥ a}; (i) (-∞0, +∞0) = F. (This could be Ø.) (This could be Ø.)
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