## 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

1. Michele_Laino

hint: if a and b are odd integers, then exists two integers, say m, and n, such that: $\begin{gathered} a = 2n + 1 \hfill \\ b = 2m + 1 \hfill \\ \end{gathered}$

2. Michele_Laino

so we can write: $a \cdot b = 4nm + 2n + 2m + 1$