Consider the statement: For all integers a, b, and c, if alb and blc then alc. The statement is false because it is impossible for an integer to be a divisor and a multiple at the same time! The statement is true and it shows the transitivity property of divisibility The statement is true and we can prove it by this example: 3112 and 12|36, therefore 3136 The statement is false. We can provide a counter example
Consider the statement: For all integers a, b, and c, if alb and blc then alc. The statement is false because it is impossible for an integer to be a divisor and a multiple at the same time! The statement is true and it shows the transitivity property of divisibility The statement is true and we can prove it by this example: 3112 and 12|36, therefore 3136 The statement is false. We can provide a counter example
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the statement:
For all integers a, b, and c, if alb and blc then alc.
The statement is false because it is impossible for an integer to be a divisor and a
multiple at the same time!
The statement is true and it shows the transitivity property of divisibility
The statement is true and we can prove it by this example: 3112 and 12|36,
therefore 3136
The statement is false. We can provide a counter example
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