Order 7 of the following sentences so that they prove the following statement by contrapositive: For any integers m and n, it 3 + mn, then 3 + m. Proof by contrapositive of the statement (in order): Choose from this list of sentences Since 31m, there exists an integer k such that m = 3k Since k and n are integers and integers are closed under multiplication kn must be an integer 3|m Since 31mn, there exists an integer k such that mn = 3k It follows that, mn = 3kn = 3(kn) Let m and n be integers and 3 mn

Order 7 of the following sentences so that they prove the following statement by contrapositive: For any integers m and n, it 3 + mn, then 3 + m. Proof by contrapositive of the statement (in order): Choose from this list of sentences Since 31m, there exists an integer k such that m = 3k Since k and n are integers and integers are closed under multiplication kn must be an integer 3|m Since 31mn, there exists an integer k such that mn = 3k It follows that, mn = 3kn = 3(kn) Let m and n be integers and 3 mn

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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