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4. Let Z5 = {0,1,2,3,4}. 4a) Find the value of x that makes (2+5) X5 4 =_1 in Z5 true. Complete the TWO-COLUMN TABLE below to show how x is obtained. Statement Reason Given Existence of an inverse with respect to X5 and Multiplication Property of Equality Associativity of X5 Definition of multiplication modulo 5 Definition of Identity element of Z5 under X5 Existence of an inverse with respect to +5 and Addition Property of Equality Associativity of +5 Definition of addition modulo 5 x 4b) CHECK your answer by substituting the value of x in the given equation. (2+5 value of x) ×5 4 = 1

4. Let Z5 = {0,1,2,3,4}. 4a) Find the value of x that makes (2+5) X5 4 =_1 in Z5 true. Complete the TWO-COLUMN TABLE below to show how x is obtained. Statement Reason Given Existence of an inverse with respect to X5 and Multiplication Property of Equality Associativity of X5 Definition of multiplication modulo 5 Definition of Identity element of Z5 under X5 Existence of an inverse with respect to +5 and Addition Property of Equality Associativity of +5 Definition of addition modulo 5 x 4b) CHECK your answer by substituting the value of x in the given equation. (2+5 value of x) ×5 4 = 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Let Z5 = {0,1,2,3,4}. 4a) Find the value of x that makes (2 +5 x) X5 4 =_1 in Z5 true. Complete the TWO-COLUMN TABLE below to show how x is obtained. Statement Reason Given Existence of an inverse with respect to X5 and Multiplication Property of Equality Associativity of X5 Definition of multiplication modulo 5 Definition of Identity element of Z5 under X5 Existence of an inverse with respect to +5 and Addition Property of Equality Associativity of +5 Definition of addition modulo 5 x = 4b) CHECK your answer by substituting the value of x in the given equation. (2 +5 value of x) ×5 4 = 1
Transcribed Image Text:4. Let Z5 = {0,1,2,3,4}. 4a) Find the value of x that makes (2 +5 x) X5 4 =_1 in Z5 true. Complete the TWO-COLUMN TABLE below to show how x is obtained. Statement Reason Given Existence of an inverse with respect to X5 and Multiplication Property of Equality Associativity of X5 Definition of multiplication modulo 5 Definition of Identity element of Z5 under X5 Existence of an inverse with respect to +5 and Addition Property of Equality Associativity of +5 Definition of addition modulo 5 x = 4b) CHECK your answer by substituting the value of x in the given equation. (2 +5 value of x) ×5 4 = 1
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