Determine the validity of the ff. proof: Theorem: "the sum of any two rational numbers is a rational number" Proof: "Proof: Suppose r and s are rational numbers. By definition of rational, r = a/b for some integers a and b with b + 0, and s = a/b for some integers a and b with b + 0. Then 2a a r+s== b b a -- b Let p = 2a. Then p is an integer since it is a prod- uct of integers. Hence r+s = p/b, where p and b are integers and b + 0. Thus r + s is a rational number by definition of rational. This is what was to be shown."

Determine the validity of the ff. proof: Theorem: "the sum of any two rational numbers is a rational number" Proof: "Proof: Suppose r and s are rational numbers. By definition of rational, r = a/b for some integers a and b with b + 0, and s = a/b for some integers a and b with b + 0. Then 2a a r+s== b b a -- b Let p = 2a. Then p is an integer since it is a prod- uct of integers. Hence r+s = p/b, where p and b are integers and b + 0. Thus r + s is a rational number by definition of rational. This is what was to be shown."

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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