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Answer to Question #71150 in Functional Analysis for sajid
Question #71150
Q. Which of the following sets are countable or uncountable.
(i) set of real numbers
(ii) set of complex numbers
(i) set of real numbers
(ii) set of complex numbers
Expert's answer
(i) set of real numbers is uncountable because Cantor's diagonal argument shows that this set is uncountable.
(ii) set of complex numbers is uncountable because set of real numbers is a subset of complex numbers.
(ii) set of complex numbers is uncountable because set of real numbers is a subset of complex numbers.
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