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Infinite Union of Uncountable Sets (quick ques)

Is the infinite union of uncountable sets also uncountable? Just need a yes or no. Thanks.
 
Last edited:

CompuChip

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Any interval in the reals is uncountable. So even a finite union of uncountable sets is uncountable.
 
Yes, any union of any uncountable set is also uncountable.

Remember, the union of sets can't be any smaller than the individual set.
 

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