Let 2z be the set of even integers and consider the function n-6 T: 22 –z defined by T(n) : Prove that T is onto. Make sure that your proof is complete (there are two main things that you must demonstrate, just like on the homework).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 23E: Let a and b be constant integers with a0, and let the mapping f:ZZ be defined by f(x)=ax+b. Prove...
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Let 2Z be the set of even integers and consider the function
n - 6
T: 2Z → Z defined by Y(n) =
Prove that Y is onto. Make sure that your proof is complete (there are two main things
that you must demonstrate, just like on the homework).
Transcribed Image Text:Let 2Z be the set of even integers and consider the function n - 6 T: 2Z → Z defined by Y(n) = Prove that Y is onto. Make sure that your proof is complete (there are two main things that you must demonstrate, just like on the homework).
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