UNBOUNDED INTERVAL Meaning and
Definition
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An unbounded interval, in mathematics, refers to a subset of the real numbers that extends indefinitely in one or both directions. It is characterized by the absence of definite endpoints, allowing for an infinite range of values.
An unbounded interval can be defined by two different scenarios: either extending towards positive infinity, or extending towards negative infinity, or both. In the case of an interval unbounded towards positive infinity, the set includes all real numbers greater than a specific value. For instance, if we consider the interval (a, +∞), it encompasses every real number that is greater than 'a'. The 'a' value may be any real number, serving as a lower bound to the interval.
Conversely, an unbounded interval stretching towards negative infinity encompasses all real numbers smaller than a certain value. For instance, if we consider the interval (-∞, b), it includes all real numbers that are less than 'b'. The 'b' value, in this case, represents an upper bound for the interval.
Lastly, an unbounded interval can also extend indefinitely in both directions, encompassing all real numbers. This form of the interval is denoted by (-∞, +∞).
Overall, the concept of an unbounded interval allows for an infinite span of values, without the presence of distinct endpoints.
Common Misspellings for UNBOUNDED INTERVAL
- ynbounded interval
- hnbounded interval
- jnbounded interval
- inbounded interval
- 8nbounded interval
- 7nbounded interval
- ubbounded interval
- umbounded interval
- ujbounded interval
- uhbounded interval
- unvounded interval
- unnounded interval
- unhounded interval
- ungounded interval
- unbiunded interval
- unbkunded interval
- unblunded interval
- unbpunded interval
- unb0unded interval
Etymology of UNBOUNDED INTERVAL
The etymology of the word "unbounded" can be traced back to the prefix "un-" which means "not" or "lack of", and the word "bound" which comes from Old English "bindan" meaning "to tie or restrain". "Bound" in this context refers to the limitations or constraints of a set or interval. Therefore, an "unbounded interval" is an interval without any specific limitations or boundaries.
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