The integers greater than 10. (Check all that apply
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 40WE
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Question
Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set.
The integers greater than 10. (Check all that apply.)
[]The set is countably infinite.
[]The set is finite.
[]The set is countably infinite with one-to-one correspondence 1 ↔ 11, 2 ↔ 12, 3 ↔ 13, and so on.
[] The one-to-one correspondence is given by n ↔ (n + 10).
[] The set is countably infinite with one-to-one correspondence 1 ↔ 10, 2 ↔ 12, 3 ↔ 17, and so on.
[] The one-to-one correspondence is given by n ↔ (2n + 10).
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