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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 35E
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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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