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3. Determine the cardinality of the following sets. For sets which are infinite, indicate if they are or uncountable. Explain your answer a theorem or formula or diagram. Countable Support it with a) The set of all functions from X to Y, if 1x1 = 4 and IT | = 5. b) the set of rational numbers l.e. all fraction n m the interval (0,1). Mumber that could be represented by natural numbers such that 0≤n

3. Determine the cardinality of the following sets. For sets which are infinite, indicate if they are or uncountable. Explain your answer a theorem or formula or diagram. Countable Support it with a) The set of all functions from X to Y, if 1x1 = 4 and IT | = 5. b) the set of rational numbers l.e. all fraction n m the interval (0,1). Mumber that could be represented by natural numbers such that 0≤n

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.2: Real Numbers
Problem 3E: Express the set of real numbers between but not including 2 and 7 as follows. (a) In set-builder...
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3. Determine the cardinality of the following sets. For sets which are infinite, indicate if they are Countable or uncountable. Explain your answer or Support it with a theorem or formula or diagram. a) The set of all functions from X to Y, if 1x1 = 4 and IT = 5. b) the set of rational numbers 1.e. all mumber that could be represented fraction with m c) The set of irrational numbers, ie. the real numbers that not rational Gre on the interval (0,1). by n and m natural numbers such that 0≤n<m
Transcribed Image Text:3. Determine the cardinality of the following sets. For sets which are infinite, indicate if they are Countable or uncountable. Explain your answer or Support it with a theorem or formula or diagram. a) The set of all functions from X to Y, if 1x1 = 4 and IT = 5. b) the set of rational numbers 1.e. all mumber that could be represented fraction with m c) The set of irrational numbers, ie. the real numbers that not rational Gre on the interval (0,1). by n and m natural numbers such that 0≤n<m
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