(2) Let x,y and z be real numbers. Show that the distance between a real number x and z is the sum of the distances between x and y and between y and z if and only if y € [x, z]. Illustrate geometrically on the real line.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.7: Functions Defined By Equations
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(2) Let x,y and z be real numbers. Show that the distance between a real number x and z is the sum of the distances
between x and y and between y and z if and only if y € [x, z]. Illustrate geometrically on the real line.
3
Transcribed Image Text:(2) Let x,y and z be real numbers. Show that the distance between a real number x and z is the sum of the distances between x and y and between y and z if and only if y € [x, z]. Illustrate geometrically on the real line. 3
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