# Approximate inequality

In engineering and science, an **approximate inequality** is a relation that makes an approximate non-equal comparison between two values, such as **less-than or approximate** and **greater-than or approximate**.^{[1]}
They are defined via the logical OR between a strict inequality (<,>) and an approximate equality (≈):

*a*⪅*b*: (*a*<*b*) ∨ (*a*≈*b*)*a*⪆*b*: (*a*>*b*) ∨ (*a*≈*b*)

It implies the absolute difference |*a*-*b*| may be negligible compared to on the accuracy of the values under comparison.
This is useful in engineering tolerance and in metrology of physical quantities.

Symbols are available in LaTeX markup, e.g.:

- (
`\lessapprox`

) - (
`\gtrapprox`

)

It may also be denoted using Unicode:^{[2]}

- U+2A85 ⪅
- U+2A86 ⪆

It is defined in HTML as:

- ⪅
`⪅`

- ⪆
`⪆`

.

## See also[edit]

## References[edit]

- ↑ McEvoy, P. (2002).
*Classical Theory*. Theory of interacting systems. Microanalytix. p. 403. ISBN 978-1-930832-02-2. Retrieved 2021-11-22. Search this book on - ↑ "Supplemental Mathematical Operators".
*unicode.org*. Retrieved 2021-11-18.

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