[tex]A=\mathbb{R}-0[/tex](adsbygoogle = window.adsbygoogle || []).push({});

[tex](0,1)\subseteq \mathbb{R}-0[/tex]

Assume A is countable.

Since A is countable, then [tex]A\sim\mathbb{N}[/tex].

Which follows that [tex](0,1)\sim\mathbb{N}[/tex].

However, (0,1) is uncountable so by contradiction, Card(A)=c

Correct?

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# Homework Help: Cardinality of sets: prove equality

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