Define Floor: R Z by the formula Floor(x) = x, for all real numbers x. a. Is Floor
Chapter 7, Problem 20(choose chapter or problem)
Define Floor: \(\mathbf{R} \rightarrow \mathbf{Z}\) by the formula Floor(x) = \(\lfloor x\rfloor\), for all real numbers x.
a. Is Floor one-to-one? Prove or give a counterexample.
b. Is Floor onto? Prove or give a counterexample
Text Transcription:
mathbf R rightarrow mathbf Z
lfloor x rfloor
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