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2. Prove the following statement directly. V a, b, c e Z, if a | b and a c, then a | (7b + 4c)

2. Prove the following statement directly. V a, b, c e Z, if a | b and a c, then a | (7b + 4c)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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**Problem 2.** Prove the following statement directly. For all \( a, b, c \in \mathbb{Z} \), if \( a \mid b \) and \( a \mid c \), then \( a \mid (7b + 4c) \).
Transcribed Image Text:**Problem 2.** Prove the following statement directly. For all \( a, b, c \in \mathbb{Z} \), if \( a \mid b \) and \( a \mid c \), then \( a \mid (7b + 4c) \).
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