If x; y; z R and x < z, show that x < y < z

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If x; y; z ∈ R and x < z, show that x < y < z if and only if |x - y| + |y - z| = |x - z|. Interpret this geometrically.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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