IntervalMemberQ [interval,x]
gives True if the number x lies within the specified interval, and False otherwise.
IntervalMemberQ [interval1,interval2]
gives True if interval2 is completely contained within interval1.
IntervalMemberQ [interval]
represents an operator form of IntervalMemberQ that can be applied to a number.
IntervalMemberQ
IntervalMemberQ [interval,x]
gives True if the number x lies within the specified interval, and False otherwise.
IntervalMemberQ [interval1,interval2]
gives True if interval2 is completely contained within interval1.
IntervalMemberQ [interval]
represents an operator form of IntervalMemberQ that can be applied to a number.
Details
- The interval can be any of:
-
- IntervalMemberQ [interval][x] is equivalent to IntervalMemberQ [interval,x].
- IntervalMemberQ has attribute Listable .
Examples
open all close allBasic Examples (2)
Test whether lies in the interval 2 through 5:
IntervalMemberQ[Interval[{2, 5}], Pi]Test whether lies in a center-radius interval:
IntervalMemberQ[CenteredInterval[2 + 3I, 1 + I], E + Pi I]Scope (3)
IntervalMemberQ tests whether one interval lies within another:
IntervalMemberQ[Interval[{2, 5}], Interval[{3, 4}]]IntervalMemberQ[Interval[{2, 5}], Interval[{4, 6}]]IntervalMemberQ[CenteredInterval[0, 1 + I], CenteredInterval[1 / 2, 1 / 4 + 1 / 4I]]IntervalMemberQ[CenteredInterval[1 + I, 2 + 3I], Interval[{0, 1}, {2, 3}]]Exact numbers do not define an extended interval:
IntervalMemberQ[Interval[1], Interval[1.]]Approximate numbers do:
IntervalMemberQ[Interval[1.], Interval[1]]Use IntervalMemberQ as an operator form:
IntervalMemberQ[Interval[{3, 4}]][Pi]See Also
Interval CenteredInterval IntervalIntersection Between MemberQ PossibleZeroQ Nearest
Function Repository: IntervalComplement
Tech Notes
Related Guides
History
Introduced in 1996 (3.0) | Updated in 2021 (12.3) ▪ 2021 (13.0)
Text
Wolfram Research (1996), IntervalMemberQ, Wolfram Language function, https://reference.wolfram.com/language/ref/IntervalMemberQ.html (updated 2021).
CMS
Wolfram Language. 1996. "IntervalMemberQ." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2021. https://reference.wolfram.com/language/ref/IntervalMemberQ.html.
APA
Wolfram Language. (1996). IntervalMemberQ. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/IntervalMemberQ.html
BibTeX
@misc{reference.wolfram_2026_intervalmemberq, author="Wolfram Research", title="{IntervalMemberQ}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/IntervalMemberQ.html}", note=[Accessed: 05-September-2026]}
BibLaTeX
@online{reference.wolfram_2026_intervalmemberq, organization={Wolfram Research}, title={IntervalMemberQ}, year={2021}, url={https://reference.wolfram.com/language/ref/IntervalMemberQ.html}, note=[Accessed: 05-September-2026]}