1) A) Show that the set of all odd integers is countable, by producing a 1-1 Function F From J onto the set of all odd integers. B) Suppose S is a set, there is a function fiJ-s that is onto. Define a function g: S-> J that is 1-1. Also, state why this allows you to Con clude that S is countably infinite?
1) A) Show that the set of all odd integers is countable, by producing a 1-1 Function F From J onto the set of all odd integers. B) Suppose S is a set, there is a function fiJ-s that is onto. Define a function g: S-> J that is 1-1. Also, state why this allows you to Con clude that S is countably infinite?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 63E
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