Let J5 = {0, 1, 2, 3, 4}. Then J5 {0}={1, 2, 3, 4}. Student A tries to define a function

Chapter 7, Problem 35

(choose chapter or problem)

Let \(J_{5}=\{0,1,2,3,4\}\). Then \(J_{5}-\{0\}=\{1,2,3,4\}\). Student A tries to define a function R : \(J_{5}-\{0\} \rightarrow J_{5}-\{0\}\) as follows: For each \(x \in J_{5}-\{0\}\),

R(x) is the number y so that (xy) mod 5 = 1.

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

Text Transcription:

J_5 ={0,1,2,3,4}

J_5 -{0}={1,2,3,4}

J_5 -{0} rightarrow J_5 -{0}

x in J_5 -{0}