Student A tries to define a function g: Q Z by the rule g m n = m n,for all integers m

Chapter 7, Problem 33

(choose chapter or problem)

Student A tries to define a function g: \(\mathbf{Q} \rightarrow \mathbf{Z}\) by the rule

\(g\left(\frac{m}{n}\right)=m-n\), for all integers m and n with \(n \neq 0\).

Student B claims that g is not well defined. Justify student B’s claim.

Text Transcription:

mathbf Q rightarrow mathbf Z

g(m/n)=m-n

n neq 0

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