Prove or Disprove: for All Integers $$a , b , c \text {, if } a \mid b c , \text { then } a \mid b \text { or } a \mid c \text {. }$$

question 88

True/False

Prove or disprove: For all integers $$a , b , c \text {, if } a \mid b c , \text { then } a \mid b \text { or } a \mid c \text {. }$$

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Definitions:

Obedience To Authority

The psychological mechanism that drives individuals to comply with instructions, orders, or demands from perceived authority figures.

The Holocaust

The systematic, state-sponsored persecution and annihilation of six million Jews by the Nazi regime and its collaborators during World War II.

Kurt Lewin

Known as the father of modern social psychology, he developed theories on group dynamics and organizational development.

Function

In mathematics, a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output; in general, an activity or purpose natural to or intended for a person or thing.