shadow13
  • shadow13
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
Mathematics
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SOLVED
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katieb
  • katieb
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Michele_Laino
  • Michele_Laino
hint: if a and b are odd integers, then exists two integers, say m, and n, such that: \[\begin{gathered} a = 2n + 1 \hfill \\ b = 2m + 1 \hfill \\ \end{gathered} \]
Michele_Laino
  • Michele_Laino
so we can write: \[a \cdot b = 4nm + 2n + 2m + 1\]

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