Suppose a and b are relatively prime positive integers. Is it true that (a+2b)4(ab) = 1 (mod ab) ? True or False O True O False QUESTION 2 Suppose a and b are relatively prime positive integers. Is it true that (ab)(a+b) = 1 (mod a +b) ? True or False O True False

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 58E: a. Prove that 10n(1)n(mod11) for every positive integer n. b. Prove that a positive integer z is...
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QUESTION 1
Suppose a and b are relatively prime positive integers. Is it true that
(a + 2b) (ab) = 1 (mod ab)
? True or False
O True
O False
QUESTION 2
5 P
Suppose a and b are relatively prime positive integers. Is it true that
(ab)
(a +b)
= I (mod a +b)
? True or False
O True
O False
Transcribed Image Text:QUESTION 1 Suppose a and b are relatively prime positive integers. Is it true that (a + 2b) (ab) = 1 (mod ab) ? True or False O True O False QUESTION 2 5 P Suppose a and b are relatively prime positive integers. Is it true that (ab) (a +b) = I (mod a +b) ? True or False O True O False
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