Let Z be the set of all integers. An integer a has f as a factor if a = fj for some j. An integer is even if it has 2 as a factor. An integer a is odd if it is not even. y contradiction that an odd number cannot have an even number as a factor.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
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Let Z be the set of all integers. An integer a has f as a factor if a =
integer j. An integer is even if it has 2 as a factor. An integer a is odd if it is not even.
Prove by contradiction that an odd number cannot have an even number as a factor.
Transcribed Image Text:Let Z be the set of all integers. An integer a has f as a factor if a = integer j. An integer is even if it has 2 as a factor. An integer a is odd if it is not even. Prove by contradiction that an odd number cannot have an even number as a factor.
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