What is Interval Notation and How is it Used?

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Discussion Overview

The discussion centers around the concept of interval notation, specifically focusing on the notation [20;30[ and its meaning in mathematical contexts. Participants explore its definition, usage, and equivalence to other forms of notation.

Discussion Character

  • Conceptual clarification, Technical explanation

Main Points Raised

  • One participant seeks assistance with understanding the interval notation [20;30[ and expresses a desire to solve a related problem.
  • Another participant references a Wikipedia article to clarify that the notation uses outward-facing square brackets to indicate the endpoints of an open interval.
  • A different participant explains that [20;30[ represents the set of all x such that 20 ≤ x < 30, highlighting the inclusion of 20 and exclusion of 30.
  • It is noted that [20, 30) is an alternative notation that conveys the same meaning, indicating all numbers between 20 and 30, including 20 but not 30.

Areas of Agreement / Disagreement

Participants generally agree on the meaning of the interval notation and its equivalence to other forms, but there is no explicit consensus on the preferred notation style.

Contextual Notes

The discussion does not address potential limitations or assumptions regarding the notation or its applications.

shadowboy13
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[a;b[

I want to do a problem with this but i can't find anything about it, if anyone can help me it'd be very useful, thank you. :)

The one i want to do exactly is [20;30[ , in case anyone is wondering.
 
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In other words, [20;30[ means {x | 20 ≤ x < 30}, the interval on the real number line between 20 and 30, with 20 included and 30 excluded.
 
Perhaps you are familiar with [20, 30), another notation meaning the same thing- all numbers between 20 and 30, including 20 but not 30.
 

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