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Which of the following statements is true: For all integers a, b, and c, a | be if and only if a | b and a c. O This option A number k divides the sum of three consecutive integers n, (n + 1), and (n + 2) if and only if it divides the middle integer n + 1. This option Ifrand s are integers, then r |s if and only if r | s2. O This option For all integers a, b, and c, a | (b + c) if and only if a | b and a |c

Which of the following statements is true: For all integers a, b, and c, a | be if and only if a | b and a c. O This option A number k divides the sum of three consecutive integers n, (n + 1), and (n + 2) if and only if it divides the middle integer n + 1. This option Ifrand s are integers, then r |s if and only if r | s2. O This option For all integers a, b, and c, a | (b + c) if and only if a | b and a |c

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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Which of the following statements is true: For all integers a, b, and c, a | be if and only if a | b and a c. O This option A number k divides the sum of three consecutive integers n, (n + 1), and (n + 2) if and only if it divides the middle integer n + 1. This option Ifrand s are integers, then r | s if and only if r | s2. O This option For all integers a, b, and e, a | (b + c) if and only if a | b and a |c
Transcribed Image Text:Which of the following statements is true: For all integers a, b, and c, a | be if and only if a | b and a c. O This option A number k divides the sum of three consecutive integers n, (n + 1), and (n + 2) if and only if it divides the middle integer n + 1. This option Ifrand s are integers, then r | s if and only if r | s2. O This option For all integers a, b, and e, a | (b + c) if and only if a | b and a |c
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