I am trying to come up with a bijective function $f$ between the set : $\left \{ 2\alpha -1:\alpha \in \mathbb{N} \right \}$ and the set $\left \{ \beta\in \mathbb{N} :\beta\geq 9 \right \}$, but I couldn't figure out how to do it. Can anyone come up with such a bijective function? Thanks
[Math] Example of a bijection between two sets
elementary-set-theoryfunctions
Best Answer
Hint: find bijections of both sets with $\mathbb{N}$.