Suppose n e Z. (That is, throughout this question, n is an arbitrary integer; you cannot pick a particular value for n to be.) (a) Consider the following proposition, which we'll call P: If 7n + 5 is odd, then n is even. What is the contrapositive of P? (b) Prove (using a direct proof) that the contrapositive of P is true. (You do not need to write English sentences as in the homework solutions.)

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
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Suppose n e Z. (That is, throughout this question, n is an arbitrary integer; you
cannot pick a particular value for n to be.)
(a) Consider the following proposition, which we'll call P:
If 7n + 5 is odd, then n is even.
What is the contrapositive of P?
(b) Prove (using a direct proof) that the contrapositive of P is true. (You do not
need to write English sentences as in the homework solutions.)
Transcribed Image Text:Suppose n e Z. (That is, throughout this question, n is an arbitrary integer; you cannot pick a particular value for n to be.) (a) Consider the following proposition, which we'll call P: If 7n + 5 is odd, then n is even. What is the contrapositive of P? (b) Prove (using a direct proof) that the contrapositive of P is true. (You do not need to write English sentences as in the homework solutions.)
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