Determine Whether Each of the Following Sets Is Countable or Uncountable

Short Answer

determine whether each of the following sets is countable or uncountable. For those that are countably infinite exhibit a one-to-one correspondence between the set of positive integers and that set.
- $$\text { The set of irrational numbers between } \sqrt { 2 } \text { and } \pi / 2 \text {. }$$