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Proof without Words: The Sum of a Positive Number and Its Reciprocal Is at Least Two (four proofs)
by Roger B. Nelsen (Lewis and Clark College)
This article originally appeared in:Mathematics Magazine
December, 1994
Subject classification(s): Inequalities | Algebra | Algebra and Number Theory
Applicable Course(s): 4.3 Number Theory | 3.7 Discrete Math
Four geometric demonstrations of an inequality: the sum of a positive number and its reciprocal is at least \(2\)
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Capsule Course Topic(s): Number Theory | Numbers with Special Forms or Properties
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