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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 a∣b and a∣c, 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 {. }

Correct Answer:

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Proof : Suppose blured image, and blured image are any integers ...

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