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Proof Technique D asks you to formulate a definition of what it means for a whole

Nesma
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2022-05-26
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Proof Technique D asks you to formulate a definition of what it means for a whole number to be odd. What is your definition? (Do not say “the opposite of even.”) Is 6 odd? Is 11 odd? Justify your answers by using your definition.

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Nesma
2022-05-26
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We can say that an integer is odd if when it is divided by 2 there is a remainder of 1. So 6 is not odd since 6 = 3 × 2 + 0, while 11 is odd since 11 = 5 × 2 + 1.

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