open interval

noun

An interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers.

Similar
unbounded interval
Opposite
closed interval
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Meanings

nounopen interval (plural open intervals)

plural open intervals

  1. mathematicsAn interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers.

Synonyms & antonyms

nounan interval that does not include its endpoints

Similar
unbounded interval
Opposite
closed interval
Broader
interval

Synonym sets from Open English WordNet, CC BY 4.0.

Translations

Catalan interval obert
  • interval obertTranslations
Chinese Mandarin 開區間 /开区间
  • 開區間 /开区间 (kāiqūjiān)Translations
Czech otevřený interval
  • otevřený intervalTranslations
French intervalle ouvert
  • intervalle ouvertTranslations
German offenes Intervall
  • offenes IntervallTranslations
Italian intervallo aperto
  • intervallo apertoTranslations
Korean 열린구간, 개구간
  • 열린구간 (yeollin'gugan)Translations
  • 개구간 (gaegugan)Translations
Portuguese intervalo aberto
  • intervalo abertoTranslations
Spanish intervalo abierto
  • intervalo abiertoTranslations
Cite this entry
APA

open interval. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/open%20interval

MLA

“open interval.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/open%20interval. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “open interval,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/open%20interval.

Source: open interval on Wiktionary, CC BY-SA 4.0.