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:

Aromatic

Refers to a class of compounds that contain a benzene ring or a similar structure with delocalized electrons that follow Huckel's rule.

AntiAromatic

Compounds that have conjugated pi electron systems with 4n pi electrons, which destabilize the molecule, making it less stable than if the pi electrons were localized.

NonAromatic

Refers to organic compounds that do not possess the special stability associated with cyclic, planar systems that follow Huckel’s rule of delocalized electrons.

π Network

A system of conjugated pi bonds within a molecule that allows for the delocalization of pi electrons across all the adjacent aligned p orbitals.