Decide whether each of the following statements are true. (a) If a, b, m, n = N and a | m and b | n, then ab | mn. (b) If a, b, m, n = N and ab | mn, then either a | mor b | n. [Justify your answers.]
Decide whether each of the following statements are true. (a) If a, b, m, n = N and a | m and b | n, then ab | mn. (b) If a, b, m, n = N and ab | mn, then either a | mor b | n. [Justify your answers.]
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 4TFE: Label each of the following statement as either true or false.
only if
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can you help w this question please.
![Decide whether each of the following statements are true.
(a) If a, b, m, n = N and a | m and b | n, then ab | mn.
(b) If a, b, m, n = N and ab | mn, then either a | mor b | n.
[Justify your answers.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4082be17-8615-459e-878a-685f4f1bd2cd%2F2f57a197-3e0b-48c4-95f8-8315b2de5f11%2Fze5sh35_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Decide whether each of the following statements are true.
(a) If a, b, m, n = N and a | m and b | n, then ab | mn.
(b) If a, b, m, n = N and ab | mn, then either a | mor b | n.
[Justify your answers.]
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