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Name: What’s the contrapositive of the statement “A rectangle R with side le
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Description: What’s the contrapositive of the statement “A rectangle R with side lengths 1 and x, where x is rational, cannot be tiled by finitely many squares.” Is the statement “If a rectangle R can be tiled by finitely many squares, then the side lengths are 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.1: Real Numbers

Problem 36E

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What’s the contrapositive of the statement “A rectangle R with side lengths 1 and x, where x is rational, cannot be tiled by finitely many squares.” Is the statement “If a rectangle R can be tiled by finitely many squares, then the side lengths are 1 and x, where x is a rational number” is correct? Or is it “If a rectangle R can be tiled by finitely many squares, then the side lengths are not 1 and x, where x is a rational number.”?

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