) 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.

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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.
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.
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