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Determine Whether Each of the Following Sets Is Countable or Uncountable

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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.
-  The set of irrational numbers between 2 and π/2\text { The set of irrational numbers between } \sqrt { 2 } \text { and } \pi / 2 \text {. }


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