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Prove or Disprove: for All Integers a,b,c, if ab and bc then aca , b , c \text {, if } a \mid b \text { and } b \mid c \text { then } a \mid c

question 96

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Prove or disprove: For all integers a,b,c, if ab and bc then aca , b , c \text {, if } a \mid b \text { and } b \mid c \text { then } a \mid c


Definitions:

Boiling Point

The temperature at which a liquid changes to a gas at a given pressure, characteristic for each specific substance.

Hydrophobic

Characteristic of molecules that repel water or do not mix well with water, often due to nonpolar properties.

Alkanes

Hydrocarbons consisting solely of hydrogen and carbon atoms arranged in straight or branched chains without any double or triple bonds.

Cis/trans Designation

A way to distinguish isomers by the relative positioning of functional groups within a molecule; cis means on the same side and trans means on opposite sides.

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