cardinality of irrational number
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The cardinality of the irrationals
Together these two sets make the real numbers in (0,1), which has c points. If the irrational points were countable, the union of rational and irrational would be countable, but it isn't. Thus the irrational points alone must be uncountable, like the reals.
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Step-by-step explanation:
Together these two sets make the real numbers in (0,1), which has c points. If the irrational points were countable, the union of rational and irrational would be countable, but it isn't. Thus the irrational points alone must be uncountable, like the reals.
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