Prove: Let a, b, and c be integers. If (a - b) | c, then a | c. Suppose a, b, c are integers with (a - b) | c. Then c = | (a b) for some integer k, so c = a, so a c.
Prove: Let a, b, and c be integers. If (a - b) | c, then a | c. Suppose a, b, c are integers with (a - b) | c. Then c = | (a b) for some integer k, so c = a, so a c.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![Prove:
Let a, b, and c be integers. If
Suppose a, b, c are integers with (a
(a - b) | c, then a | c.
b) | c. Then c =
(a b) for some integer k, so c =
]a, ·
so a c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72808cdf-7534-418e-b73d-b7f094c7b13f%2F325ce5e9-ec1a-4fa9-87a8-1499e71bc13a%2Fhsk3sbq_processed.png&w=3840&q=75)
Transcribed Image Text:Prove:
Let a, b, and c be integers. If
Suppose a, b, c are integers with (a
(a - b) | c, then a | c.
b) | c. Then c =
(a b) for some integer k, so c =
]a, ·
so a c.
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