Interval notation

  1. Can anyone please give a succinct and clear description on this? I'm a little confused...
     
  2. jcsd
  3. http://www.purplemath.com/modules/setnotn.htm

    Set notation. This will help you read the wiki article.

    Need to know where you at with it to be able to help.

    Do you understand (a, b] means a isn't included in the interval but b is?
     
  4. HallsofIvy

    HallsofIvy 40,241
    Staff Emeritus
    Science Advisor

    (a, b) means "all numbers strictly between a and b". It can also be written as [itex]\{x| a< x< b\}[/itex].

    [a, b) means "all numbers strictly between a and b and the number a. It can also be written as [itex]\{x| a\le x< b\}[/itex].

    (a, b) means "all numbers strictly between a and b and the number b. It can also be written as [itex]\{ x| a< x\le b\}[/itex].

    [a, b] means "all numbers strictlhy between a and b and both the number a and the number b. It can also be written as [itex]\{x| a\le x\le b\}[/itex].

    In short, all of these contain the interval between a and b. "[" and "]" mean "include this end point". "(" and ")" mean "do not include this point".
     
  5. Third, HOI certainly means (a,b], just in case this is not caught.
     
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