Consider the Following Theorem: If X Is an Odd Integer

question 56

Essay

Consider the following theorem: If x is an odd integer, then x + 2 is odd. Give a proof by contradiction of this theorem.

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Definitions:

Glycoside

A molecule in which a sugar is bound to another functional group or molecule through a glycosidic bond.

D-Aldopentose

A type of aldopentose, which is a 5-carbon sugar with an aldehyde group, having the 'D' configuration.

Alditol

A type of sugar alcohol resulting from the reduction of an aldose, wherein the aldehyde group is converted into a hydroxyl group.

Ruff Degradation

A chemical reaction used for the oxidation of aldoses to smaller aldoses.