AI Overview on math symbol for between

⭐AI Overview

"The math symbol for between is ≬ (U+226C). It represents the concept of a value lying within a range, similar to x between a and b. It's used to express that a variable or number is greater than or equal to one value and less than or equal to another. 

"Examples:
  • x ≬ 10: means x is between 0 and 10 (inclusive). 
  • 2 ≬ y ≬ 5: means y is between 2 and 5 (inclusive). 
  • 8 < 15 ≬ 27: indicates that 15 is a number between the cubes of 2 and 3. 
"Important Considerations:
  • While ≬ is a Unicode symbol for between, its use is not as common or standardized as symbols like less than (<), greater than (>), or the interval notation [a, b] or (a, b). 
  • In many contexts, it's more clear and precise to use standard mathematical notation like [a, b] for closed intervals and (a, b) for open intervals, or even just using the inequality signs in a combined form like a ≤ x ≤ b. 
  • In some cases, using words like between or in the interval is more appropriate and easier to understand. 
"AI responses may include mistakes."

1. [Source for 8 < 15 ≬ 27 above says, "In real analysis and when dealing with inequalities, ≬ is a useful shorthand to describe that a number falls within two other numbers."]
2. [One of sources for Important Considerations says:
Both of you are using ambiguous meanings of the word between which are technically correct and technically wrong at the same time. TLDR: There is no correct definition of between in mathematics, you're not wrong to use your definitions but you're also not right, and the "problem" has no correct answer due to ambiguity]
3. [Regarding one of the sources for It's used to express that a variable or number is greater than or equal to one value and less than or equal to another…not sure how you 'solve' for this "x is 1≬10" below:
When x is between 1 and 10, we can write x∈[1,10], or we can write 1≤x≤10. Has a single symbol ever been used instead? For example, has there been a symbol used instead of ≬ in "x is 1≬10" ]

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