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## 5.3. Connected and Disconnected Sets

### Examples 5.3.2(b):

Is the set [-1, 1] connected or disconnected ?

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It seems obvious that this set is connected. How should we even try to split it into
two disjoint pieces whose union gives back the original set ? But, try to prove it !
You will find that it is much easier to show that a set is disconnect than it is to
show that a set is connected.