b) Decide whether the following are true or false giving a proof or cour terexample as appropriate. (i) For all a, n, m E Z. If a | n and a | m then a | (n + m). (ii) For all a, b, n, m E Z. If a |n and b | m then (a + b) | (n +m).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
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(b) Decide whether the following are true or false giving a proof or coun
terexample as appropriate.
(i) For all a, n, m E Z. If a n and a m then a | (n +m).
(ii) For all a, b, n, m E Z. If a | n and b| m then (a + b) | (n + m).
Transcribed Image Text:(b) Decide whether the following are true or false giving a proof or coun terexample as appropriate. (i) For all a, n, m E Z. If a n and a m then a | (n +m). (ii) For all a, b, n, m E Z. If a | n and b| m then (a + b) | (n + m).
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