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Glite Dictionary
unbounded interval

unbounded interval

9.2
A range of numbers that has no end on one or both sides
  • noun
  • Informal
translation icon : intervalo no acotado
  • The set of all real numbers greater than zero forms an unbounded interval.

Examples

  • An unbounded interval can be expressed as (-∞, a) or (b, ∞).

  • An unbounded interval does not have a finite upper or lower endpoint.

  • Mathematicians often use an unbounded interval when discussing infinite sets.

  • The concept of an unbounded interval is crucial in calculus.

  • An unbounded interval can be represented mathematically as the set of all numbers greater than a certain value, extending infinitely in a positive direction.

  • In calculus, integrals are often evaluated over an unbounded interval, indicating that the limits of integration approach infinity.

  • An unbounded interval signifies that there is no constraint on the values, allowing for continuous data representation without a maximum or minimum limit.

Antonyms

bounded interval
  • Specialized
7.2

A part of the number line that includes both end points

Surface Forms

unbounded interval singular
unbounded intervals plural

Morphology

unbounded + interval

The meaning is directly compositional: 'unbounded' means having no limits and 'interval' denotes a range between endpoints, so together they denote a range without upper or lower limits. This is a literal, technical combination that a B1 learner who knows both words can readily infer, and the construction is cross-linguistically regular.

Etymology

The term unbounded interval comes from the image of a number line where a marked section keeps going and has no end. Unbounded means 'no edge' and interval means a part of the line, so the phrase means a range with no 'upper or lower limit'.