What is the difference between parentheses and brackets in coordinate points?

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SUMMARY

The discussion clarifies the distinction between parentheses and brackets in mathematical intervals. Specifically, (3,4) indicates an open interval where 3 is not included, while [3,4) denotes a half-open interval where 3 is included, and 4 is not. This differentiation is crucial for accurately representing ranges in mathematics. The terms "open interval" and "half-open interval" are essential for understanding these concepts.

PREREQUISITES
  • Understanding of mathematical intervals
  • Familiarity with open and closed interval notation
  • Basic knowledge of coordinate systems
  • Ability to interpret mathematical symbols
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  • Study the properties of open and closed intervals in real analysis
  • Learn about interval notation and its applications in calculus
  • Explore the differences between discrete and continuous sets
  • Review examples of interval notation in mathematical problems
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Students, educators, and anyone studying mathematics who needs to understand the nuances of interval notation and its implications in various mathematical contexts.

amethystls
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I have one (hopefully) quick question for anyone out there willing to help. What's the difference between putting a pair of coordinate points, for example (3,4) in parentheses () and putting the between a bracket and a parenthesis like [3,4). Please respond soon because I need to know for homework that's due tomorrow. Thanks!

~Ame
 
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i don't think it is a coordinate. (3,4) means 3<x<4 while [3,4) means 3[tex]\leq x<4[/tex].
 
Right, not a coordinate. I think I meant to say interval. Either way, thanks very much! I just hope I can remember it now!
 

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