Answer
$k=\{ ...,-7,-5,-3,-1 \}$
Work Step by Step
Integers are the negative, zero, and positive numbers which include $\{...,-3,-2,-1,0,1,2,3...\}$. Odd integers are integers not divisible by $2$. Hence, the odd integers, $k$, less than $1$ are
\begin{array}{l}\require{cancel}
k=\{ ...,-7,-5,-3,-1 \}
.\end{array}