Let m, n are integers. Prove that if m*n is even, then m is even or n is even. Specify what type of proof you are using.
Let m, n are integers. Prove that if m*n is even, then m is even or n is even. Specify what type of proof you are using.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 24E: Let , and be integers . Prove or disprove that implies.
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Specify what type of proof you are using.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc67938b8-3dd4-44fe-b68e-b9e4329f72a0%2F4af5cfe4-9de2-4ed2-89f4-f1f0e51e3a33%2Fwgrzob_processed.png&w=3840&q=75)
Transcribed Image Text:Let m, n are integers. Prove that if m*n is even, then m is even or n is even.
Specify what type of proof you are using.
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Given: m,n are integers.
To prove: If m*n is even then m or n is even.
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