Interval symbols explanation

**OReilly** · March 29th 2006, 02:16 AM

Can someone explain me what does this symbols for intervals means:
$\begin{array}{l} \left( {1,5} \right) \\ \left[ {1,5} \right) \\ \left( {1,5} \right] \\ \left[ {1,5} \right] \\ \end{array} $

**topsquark** · March 29th 2006, 03:16 AM

Originally Posted by OReilly

Can someone explain me what does this symbols for intervals means:
$\begin{array}{l} \left( {1,5} \right) \\ \left[ {1,5} \right) \\ \left( {1,5} \right] \\ \left[ {1,5} \right] \\ \end{array} $

$\left( {1,5} \right) \\ \rightarrow 1<x<5$
$\left[ {1,5} \right) \\ \rightarrow 1 \le x<5$
$\left( {1,5} \right] \\ \rightarrow 1<x \le 5$
$\left[ {1,5} \right] \\ \rightarrow 1 \le x \le 5$

Roughly speaking "(" or ")" means "does not include" and "[" or "]" means "includes."

-Dan

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