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Prove the Following Statement Directly from the Definitions of the Terms

question 6

Essay

Prove the following statement directly from the definitions of the terms. Do not use any other facts previously proved in class or in the text or in the exercises.  For all integers a,b, and c, if ab and ac, then a(5b+3c)\text { For all integers } a , b \text {, and } c \text {, if } a \mid b \text { and } a \mid c \text {, then } a \mid ( 5 b + 3 c ) \text {. }


Definitions:

Aversion

A strong dislike or disinclination toward something often because of anticipated negative consequences or outcomes.

Shock

A sudden and often distressing stimulus or event, which can be used in experiments as a form of aversive conditioning.

Comparator Model

A cognitive theory suggesting that the decision to act is based on comparisons between the expected outcome of an action and the current state.

Conditioned Stimulus 2

A stimulus that originally had no response but becomes conditioned to elicit a response through association with an unconditioned stimulus.

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