The problem specifically refers to a set in the complex plane, and since i'm not sure if that belongs here, I will ask this question generally to make sure I have the right idea.(adsbygoogle = window.adsbygoogle || []).push({});

I was given two equations and graphed the intersection. The intersection looks like a three-quarters of a closed ring, not including the first quadrant. All the boundaries except for one are included in the set.

I was asked whether or not the set is open.

I am lead to believe that since you cannot surround a point on one of the included boundaries with an open disk also included in the set, the set is therefore NOT open. But since the set does not contain all its the limit points, it is also not closed... therefore its neither? I'm getting confused.

**Physics Forums - The Fusion of Science and Community**

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!

# Determining whether or not a set is open

Loading...

Similar Threads - Determining whether open | Date |
---|---|

I Determining the limits of x | Dec 11, 2016 |

Question about determining whether to use the chain rule or not? | Feb 21, 2014 |

Calc. 3 Determining whether points lie in a straight line | May 21, 2012 |

How to determine whether two complex trig equation is identical. | Nov 8, 2003 |

**Physics Forums - The Fusion of Science and Community**