Let a, b and c be integers. (i) If cla and alb then cb. (iv) If cla and cļb then c(sa +tb) for all integers s and t.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 20E: Let a,b,c and d be integers such that ab and cd. Prove that acbd.
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Prove the divisibility rules

Let a, b and c be integers.
(ie) If cla and alb then cb.
c[b.
(iv) If cla and cb then c (sa +t b) for all integers s and t.
Transcribed Image Text:Let a, b and c be integers. (ie) If cla and alb then cb. c[b. (iv) If cla and cb then c (sa +t b) for all integers s and t.
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