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1. Modular Arithmetic. For each of the equations below, find every x which satisfies the equality. If there are infinitely many x which satisfy an equality, you may find it helpful to list them out in a sequence whose pattern is obvious (e.g. {4,7,10,13,16,.}) i. 20 mod x = 0 ii. x mod 9 = 4 ii. 40 mod 3 = x iv. ((5 mod 3)*(8 mod 3)) mod 3 = x V. The previous two problems suggest a rule. Write this rule.

1. Modular Arithmetic. For each of the equations below, find every x which satisfies the equality. If there are infinitely many x which satisfy an equality, you may find it helpful to list them out in a sequence whose pattern is obvious (e.g. {4,7,10,13,16,.}) i. 20 mod x = 0 ii. x mod 9 = 4 ii. 40 mod 3 = x iv. ((5 mod 3)*(8 mod 3)) mod 3 = x V. The previous two problems suggest a rule. Write this rule.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. Modular Arithmetic. For each of the equations below, find every x which satisfies the equality. If there are infinitely many x which satisfy an equality, you may find it helpful to list them out in a sequence whose pattern is obvious (e.g. {4,7,10,13,16,...}) i. x mod 9 = 4 20 mod x = 0 ii. ii. 40 mod 3 = x iv. ((5 mod 3)*(8 mod 3)) mod 3 = x V. The previous two problems suggest a rule. Write this rule.
Transcribed Image Text:1. Modular Arithmetic. For each of the equations below, find every x which satisfies the equality. If there are infinitely many x which satisfy an equality, you may find it helpful to list them out in a sequence whose pattern is obvious (e.g. {4,7,10,13,16,...}) i. x mod 9 = 4 20 mod x = 0 ii. ii. 40 mod 3 = x iv. ((5 mod 3)*(8 mod 3)) mod 3 = x V. The previous two problems suggest a rule. Write this rule.
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