Determine Whether Each of the Following Sets Is Countable or Uncountable

question 130

Essay

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 positive rational numbers that can be written with denominators less than 3.

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Definitions:

Peripheral Neuropathy

A condition resulting from damage to the peripheral nerves, characterized by weakness, numbness, and pain, typically in the hands and feet.

Hyperalgesia

A condition where a person experiences an increased sensitivity to pain, often as a result of damage to nociceptors or peripheral nerves.

Vibrations

Oscillations or rapid movements back and forth or up and down, which can be felt with touch or detected through instruments.

Stereognosis

Stereognosis is the ability to perceive and recognize the form of an object by touch.