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:

Temperate Deciduous Forest

A biome characterized by four seasons with trees that lose their leaves annually, found in regions with warm summers and cool winters.

Taiga

A biome characterized by coniferous forests, consisting mostly of pines, spruces, and larches, located in cold, northern latitudes.

Largest Biome

The taiga or boreal forest, characterized by coniferous forests, covering vast areas of northern North America and Eurasia.

Brightly Lit

Illuminated with a high degree of brightness, typically referring to spaces or objects under strong light.