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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
1
Expert's answer
2017-11-22T14:50:06-0500
(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.

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