prem: The difference between any odd int any even integer is odd. pof: Suppose n is any odd integer, and m is even integer. By definition of odd, n = 2k· re k is an integer, and by definition of even 2k where k is an integer. Then n-m = (2k+1)– 2k = 1, 1 is odd. Therefore, the difference betweer odd integer and any even integer is odd."

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
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Determine the validity of the ff. proof:
Theorem: The difference between any odd integer
and any even integer is odd.
"Proof: Suppose n is any odd integer, and m is
any even integer. By definition of odd, n = 2k+1
where k is an integer, and by definition of even,
m = 2k where k is an integer. Then
n- m = (2k+1)– 2k = 1,
and 1 is odd. Therefore, the difference between
any odd integer and any even integer is odd."
O Insufficient information to find the answer
Yes, it is valid
O Maybe
O Not valid
Transcribed Image Text:Determine the validity of the ff. proof: Theorem: The difference between any odd integer and any even integer is odd. "Proof: Suppose n is any odd integer, and m is any even integer. By definition of odd, n = 2k+1 where k is an integer, and by definition of even, m = 2k where k is an integer. Then n- m = (2k+1)– 2k = 1, and 1 is odd. Therefore, the difference between any odd integer and any even integer is odd." O Insufficient information to find the answer Yes, it is valid O Maybe O Not valid
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