a) For all integers a, b, c, d, determine whether each of the following is TRUE or FALSE, Justify your answer: i. If alc and b|c, then (ab)|c². ii. If alb and cld, then (ac)|(b + d). iii. If alb, blc and cld, then ald. iv. If alb and cld, then (a + c)(b + d).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
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a) For all integers a, b, c, d, determine whether each of the following is TRUE or
FALSE, Justify your answer:
i. If alc and b|c, then (ab)|c².
ii. If alb and cld, then (ac)|(b + d).
iii. If alb, blc and cld, then ald.
iv. If alb and cld, then (a + c)(b + d).
Transcribed Image Text:a) For all integers a, b, c, d, determine whether each of the following is TRUE or FALSE, Justify your answer: i. If alc and b|c, then (ab)|c². ii. If alb and cld, then (ac)|(b + d). iii. If alb, blc and cld, then ald. iv. If alb and cld, then (a + c)(b + d).
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