Order 5 of the following sentences so that they form a logical proof of the statement: a divides b and a divides c implies a divides b+c • Assume alb and alc for some integers a, b and c • b+c= a(k+j) • b+c=ka+ ja • b+c= (2k)a • Ek such that b = ka and c = ka • b+c=ka+ka • Ek, j such that b = ka and c = ja • Assume for some integers a, b and c that bla and cla. • a divides b+c

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 1.
Order 5 of the following sentences so that they form a logical
proof of the statement:
a divides b and a divides c implies a divides b+c
• Assume alb and alc for some integers a, b and c
• b+c= a(k+j)
b+c=ka+ja
• b+c= (2k)a
• Ek such that b = ka and c = ka
b+c=ka+ka
3k, j such that b = ka and c = ja
Assume for some integers a, b and c that bla and cla.
• a divides b+c
Transcribed Image Text:Problem 1. Order 5 of the following sentences so that they form a logical proof of the statement: a divides b and a divides c implies a divides b+c • Assume alb and alc for some integers a, b and c • b+c= a(k+j) b+c=ka+ja • b+c= (2k)a • Ek such that b = ka and c = ka b+c=ka+ka 3k, j such that b = ka and c = ja Assume for some integers a, b and c that bla and cla. • a divides b+c
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