Consider the closed interval [tex]A = [a,b]\subset \mathbb{R}[/tex]. Are the only dense subsets of [tex]A[/tex] the set of all rational numbers in [tex]A[/tex] and the set of all irrational numbers in [tex]A[/tex]? Something tells me that there's got to be more than that, but I can't think of any examples.(adsbygoogle = window.adsbygoogle || []).push({});

Thanks in advance for your help.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A question about dense subsets of the real line

Loading...

Similar Threads for question dense subsets |
---|

I Divergent series question |

B Function rules question |

B Question about a limit definition |

A Angular Moment Operator Vector Identity Question |

I A question regarding Logistic population model |

**Physics Forums | Science Articles, Homework Help, Discussion**