Use the given information to provide a direct proof of the statement below. Prove that the product of two odd numbers is an odd number. Definition: An odd number is an integer n that can be written in the form n Fact 1: If a and b are integers, then so are a + b and a · b. = 2k +1 for some integer k.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.2: Solving Inequalities
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Use the given information to provide a direct proof of the statement below.
Prove that the product of two odd numbers is an odd number.
Definition: An odd number is an integer n that can be written in the form n
Fact 1: If a and b are integers, then so are a + b and a · b.
= 2k +1 for some integer k.
Transcribed Image Text:Use the given information to provide a direct proof of the statement below. Prove that the product of two odd numbers is an odd number. Definition: An odd number is an integer n that can be written in the form n Fact 1: If a and b are integers, then so are a + b and a · b. = 2k +1 for some integer k.
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