AB, CD, and EF are segments. Prove: If AB < CD and CD = EF, then AB < EF. If AB > CD and CD = EF, then AB > EF. Use: Given AC = DF, then for any point B between A and C, there is a unique point E between D and F such that AB = DE.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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AB, CD, and EF are segments.

Prove:

  1. If AB < CD and CD = EF, then AB < EF.
  2. If AB > CD and CD = EF, then AB > EF.

Use: Given AC = DF, then for any point B between A and C, there is a unique point E between D and F such that AB = DE.

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