Let A be a set of all numbers divisible by 3. Show that A is equipotent to B. Important: When you find the bijection from A to Z (all integers) you need to prove it is a bijection.
Let A be a set of all numbers divisible by 3. Show that A is equipotent to B. Important: When you find the bijection from A to Z (all integers) you need to prove it is a bijection.
From the given $\displaystyle A=\{3j:j\in \mathbb{Z}\}~~$. Define $\displaystyle \Phi:A\to \mathbb{Z}$ by $\displaystyle 3j\mapsto j$.