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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 {. }


Definitions:

Variable Factory Overhead

Expenses in a factory that vary with the level of production output, such as utility costs and materials.

Fixed Costs

Expenses that do not change with the level of production or sales over the short term, such as rent or salaries.

Direct Labor

This refers to the wages and other costs for labor directly involved in the production of goods or the provision of services, not including indirect labor costs such as maintenance.

Differential Profit

The difference in profit between two alternative decisions or time periods.

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