   Chapter 7.1, Problem 36ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Let V = { 1 , 2 , 3 } . Student C tries to define a function S : V → V as follows. For each x ∈ V . S ( x ) is the integer y in V so that (xy) mod 4=1.Student D claims that S not well defined. Who is right: student C or student D? Justify your answer.

To determine

Student D claims that S is not well defined. Who is right: student C or student D ? Justify your answer.

Explanation

Given information:

Let J4={0,1,2,3}. Then J4{0}={1,2,3}. Student C tries to define a function S:J4{0}Z as follows: For each xJ4{0}.

Concept used:

S(x) Is the number y so that (xy)mod4=1.

Calculation:

Given that J4={0,1,2,3,4}

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