Say that f: A → B is a function where A and B are both subsets of N (the natural numbers). If A cB then you can conclude which of the following? Note: you should choose all the correct answers below, since there may be more than one correct answer. OA. fis not one-to-one OB. The cardinality of B is greater than or equal to the cardinality of the range of f. OC. fis not onto OD. None of the above
Say that f: A → B is a function where A and B are both subsets of N (the natural numbers). If A cB then you can conclude which of the following? Note: you should choose all the correct answers below, since there may be more than one correct answer. OA. fis not one-to-one OB. The cardinality of B is greater than or equal to the cardinality of the range of f. OC. fis not onto OD. None of the above
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Say that f: A → B is a function where A and B are both subsets of N (the
natural numbers). If A cB then you can conclude which of the following?
Note: you should choose all the correct answers below, since there may be
more than one correct answer.
OA. fis not one-to-one
OB. The cardinality of B is greater than or equal to the cardinality of the range of f.
Oc. fis not onto
OD. None of the above
Multiple options may be selected for this question.
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