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shadow13

  • one year ago

i need help please If a and b are odd integers, then a • b is an odd integer. Which is the inverse of the statement? If a and b are not odd integers, then a • b is not an odd integer. If a • b is an odd integer, then a and b are odd integers. a and b are odd integers a • b is an odd integer

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  1. Michele_Laino
    • one year ago
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    hint: if a and b are odd integers, then exists two integers, say m, and n, such that: \[\begin{gathered} a = 2n + 1 \hfill \\ b = 2m + 1 \hfill \\ \end{gathered} \]

  2. Michele_Laino
    • one year ago
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    so we can write: \[a \cdot b = 4nm + 2n + 2m + 1\]

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