2. (a) Prove or disprove that {-39, 72, —23, 50, —15, 63, -52} is a complete residue system modulo 7. (b) Find a complete residue system modulo 7 consisting entirely of even integers. (c) Find a complete residue system modulo 7 consisting entirely of odd integers.
2. (a) Prove or disprove that {-39, 72, —23, 50, —15, 63, -52} is a complete residue system modulo 7. (b) Find a complete residue system modulo 7 consisting entirely of even integers. (c) Find a complete residue system modulo 7 consisting entirely of odd integers.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 50E
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