(a) Explanation Given: The given statement theorem is “For all real numbers x , if x > 1 then x 2 > x ” Let a real number be x such that x > 1 . Then its square will be greater than x . x 2 > x Consider x = 2 (b) To determine To write: The first and last sentence of the proof.

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ISBN: 9781133417071

Author: EPP

Publisher: CENGAGE LEARNING - CONSIGNMENT

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Chapter 4.1, Problem 21ES

(a)

To determine

To rewrite: The statement with the quantification implicit.

(b)

To determine

To write: The first and last sentence of the proof.

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Chapter 4.1, Problem 20ES

Chapter 4.1, Problem 22ES

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Chapter 4 Solutions

EBK DISCRETE MATHEMATICS: INTRODUCTION

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To rewrite: The statement with the quantification implicit.

Solution Summary: The author explains that the statement with the quantification implicit is "If x is a real number greater than 1, then its square is larger than itself."

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To rewrite: The statement with the quantification implicit.

To write: The first and last sentence of the proof.

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Chapter 4 Solutions