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Interval notation

by science~life
Tags: interval, notation
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science~life
#1
Dec13-13, 08:23 PM
P: 2
Can anyone please give a succinct and clear description on this? I'm a little confused...
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R136a1
#2
Dec13-13, 08:30 PM
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P: 341
I don't want to be a smartass, but look at http://en.wikipedia.org/wiki/Interval_%28mathematics%29
Can you specify why that link is not helpful, and what you don't understand?
Student100
#3
Dec13-13, 09:48 PM
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P: 560
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?

HallsofIvy
#4
Dec15-13, 06:55 PM
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Interval notation

(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".
1MileCrash
#5
Dec15-13, 07:22 PM
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P: 1,302
Quote Quote by HallsofIvy View Post
(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".
Third, HOI certainly means (a,b], just in case this is not caught.


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