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. $\text { For all integers } a , b \text {, and } c \text {, if } a \mid b \text { and } a \mid c \text {, then } a \mid ( 5 b + 3 c ) \text {. }$

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Definitions:

Closing Date

The day on which a property sale is concluded, with the transfer of ownership from the seller to the buyer.

Implied Term

A provision in a contract that is not explicitly stated but is assumed to be included to ensure the fair and effective functioning of the contract.

Laryngitis

An inflammation of the larynx, often causing hoarseness or loss of voice, typically resulting from infection or overuse.

Human Rights

The fundamental rights and freedoms that all individuals are entitled to regardless of nationality, sex, national or ethnic origin, race, religion, language, or any other status.