Prove that there is no integer n such that n ≡ 4 (mod 10) and n ≡ 3 (mod 15)

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 30E: 30. Prove that any positive integer is congruent to its units digit modulo .
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Prove that there is no integer n such that n ≡ 4 (mod 10) and n ≡ 3
(mod 15)

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