Consider a finite set S of points in the two-dimensional plane. A point p of S is called a covidiot, if p is within two meters of some other point of S. Let R be a rectangle whose horizontal sides have a length of 20 meters and whose vertical sides have a length of 30 meters. Assume that all points of S are contained in R and that S contains at least 601 points. • Use the Pigeonhole Principle to prove that S contains at least two covidiots.

Consider a finite set S of points in the two-dimensional plane. A point p of S is called a covidiot, if p is within two meters of some other point of S. Let R be a rectangle whose horizontal sides have a length of 20 meters and whose vertical sides have a length of 30 meters. Assume that all points of S are contained in R and that S contains at least 601 points. • Use the Pigeonhole Principle to prove that S contains at least two covidiots.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter1: Line And Angle Relationships

Section1.6: Relationships: Perpendicular Lines

Problem 27E

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