   Chapter 7.1, Problem 35ES ### 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 U = { 1 , 2 , 3 , 4 } . Student A tries to define a function R : U → Z as follows: For each x ∈ U , R ( x ) is the integer y so that ( x y ) mod 5=1.Student B claims that R is not well defined. Who is correct: student A or student B? Justify ypur answer.

To determine

Student B claims that R is not well defined. Who is right: student A or student B ? Justify your answer.

Explanation

Given information:

Let J5={0,1,2,3,4}. Then J5{0}={1,2,3,4}. Student A tries to define a function R:J5{0}Z as follows: For each xJ5{0}.

Concept used:

R(x) Is the number y so that (xy)mod5=1.

Calculation:

For J5={0,1,2,3}, the function is defined as,

R:J5{0}

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