Prove that a1 + a2 = b₁ + b₂ mod n.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 20E: Let a,b,c and d be integers such that ab and cd. Prove that acbd.
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a1, a2, b1, b2 Є Z be such that
a1
a₁ = b₁ mod n and a2 =
nЄN.
: Let
b2 mod n for some
Transcribed Image Text:a1, a2, b1, b2 Є Z be such that a1 a₁ = b₁ mod n and a2 = nЄN. : Let b2 mod n for some
Prove that a1 + a2 = b₁ + b2 mod n.
Transcribed Image Text:Prove that a1 + a2 = b₁ + b2 mod n.
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