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What is the difference between a subset of integers and a set of consecutive integers?

 Oct 18, 2016
 #1
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A set of consecutive numbers is straightforward enough, such as the integers from 1 to 100.

A subset of integers in that list might be the PRIME numbers, or numbers divisible by 5 or by 7, or a subset of odd integers......and so on.

 Oct 18, 2016
 #2
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What is the difference between a subset of integers and a set of consecutive integers?

 

a subset of integers (exemple):

 

\({\color{blue}\{6;3;5;9;12\} \subset \mathbb{Z} \ (whole \ numbers)} \)

 

a set of consecutive integers (exemple):

 

\({\color{blue}\{8;9;10;11;12\} \subset\mathbb{N} \ (natural \ numbers)} \)laugh !

 Oct 18, 2016
edited by asinus  Oct 18, 2016

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