First let's define how to write the odd intergers:
When you have an odd it menas you have the result of a number multiply by 2 (or a even number) +1, so, if you need to express the odds you have:
2n+1
Now the ingergers are represented by the Z
Then so, the set of all odd integers is:

where
∈ means belongs
Z means intergers
n is the n- umpteenth term.