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Consider the statement: For all integers a, b, and c, if alb then albc. Statement is false. Counter example is: a=3, b=9 and c-8. Her 319 but 3 does not divide 72. Statement is true. Let a= 3, b=9 and c= 8. Here 319 and 319*8 Statement is false by the transitivity property of divisibility Statement is true. We can write a direct formal proof

Consider the statement: For all integers a, b, and c, if alb then albc. Statement is false. Counter example is: a=3, b=9 and c-8. Her 319 but 3 does not divide 72. Statement is true. Let a= 3, b=9 and c= 8. Here 319 and 319*8 Statement is false by the transitivity property of divisibility Statement is true. We can write a direct formal proof

Advanced Engineering Mathematics
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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Consider the statement: For all integers a, b, and c, if alb then albc. Statement is false. Counter example is: a=3, b=9 and c-8. Her 319 but 3 does not divide 72. Statement is true. Let a= 3, b=9 and c= 8. Here 319 and 3|9*8 Statement is false by the transitivity property of divisibility O Statement is true. We can write a direct formal proof
Transcribed Image Text:Consider the statement: For all integers a, b, and c, if alb then albc. Statement is false. Counter example is: a=3, b=9 and c-8. Her 319 but 3 does not divide 72. Statement is true. Let a= 3, b=9 and c= 8. Here 319 and 3|9*8 Statement is false by the transitivity property of divisibility O Statement is true. We can write a direct formal proof
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