Question 2 Suppose that a, b, c, d = Z and n = N. Prove the following: [2.1] If a divides b and b divides c, then a divides c. [2.2] If a divides n, then a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
Question
Question 2 Suppose that a, b, c, d = Z and n = N. Prove the following:
[2.1] If a divides b and b divides c, then a divides c.
[2.2] If a divides n, then a <n.
[2.3] If n divides a and n divides b, then n divides ac + bd
/c="/
Transcribed Image Text:Question 2 Suppose that a, b, c, d = Z and n = N. Prove the following: [2.1] If a divides b and b divides c, then a divides c. [2.2] If a divides n, then a <n. [2.3] If n divides a and n divides b, then n divides ac + bd /c="/
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