NumberLinePlot
NumberLinePlot[{v1,v2,…}]
plots the values vi on a number line.
NumberLinePlot[pred,x]
plots a number line illustrating the region pred.
NumberLinePlot[pred,{x,xmin,xmax}]
plots the number to extend over the interval from xmin to xmax.
NumberLinePlot[{spec1,spec2,…},…]
plots several number lines.
Details and Options

- The vi can be numbers, Interval objects, Around objects or lists of these.
- The predicate pred can be any logical combination of inequalities.
- The speci can be numbers, intervals, or symbolic predicates.
- NumberLinePlot has the same options as Graphics, with the following additions:
-
AspectRatio Automatic ratio of height to width IntervalMarkers Automatic how to render uncertainty IntervalMarkersStyle Automatic style for uncertainty elements PlotLegends None legends for the sets PlotStyle Automatic graphics directives to specify styles PlotTheme $PlotTheme overall theme for the plot Spacings Automatic whether to plot different sets in the list pred at different heights - The default setting of Spacings->Automatic evenly spaces each speci above the axis.
- Spacings->{s1,s2,…} places spec1 distance s1 from the axis, spec2 distance s2 from spec1, etc.
- Spacings->n is equivalent to Spacings->{n,n,…}
- Spacings->None places all of the speci at the same height above the axis.
- With the default setting of AspectRatio->Automatic, the ratio is chosen based on the layout of the speci.
Examples
open allclose allBasic Examples (5)
Scope (8)
Data (7)
Use Interval and single points:
Group intervals and points into a single list to represent a single set:
Use a logical conjunction of equalities and inequalities:
Options (15)
PlotLegends (7)
By default, no legends are used:
Create a legend based on the expressions:
Create a legend with placeholder text:
Create a legend with specific labels:
PlotLegends picks up PlotStyle values automatically:
Use Placed to position legends:
Use LineLegend to modify the appearance of the legend:
PlotStyle (3)
PlotTheme (1)
Applications (6)
Illustrate the domain of a function:
Illustrate the Range of a function:
Visualize the accumulation points of a sequence on the real line:
Show where a function is increasing or decreasing:
Visualize the construction of the Cantor set:
Illustrate the not-so-trivial history of Albert Einstein's citizenship:
Properties & Relations (3)
Use RegionPlot and RegionPlot3D for showing higher-dimensional regions:
Use ListPlot and ListLinePlot to show numbers as a list of heights:
Use RadialAxisPlot and ParallelAxisPlot to display multidimensional points:
Text
Wolfram Research (2014), NumberLinePlot, Wolfram Language function, https://reference.wolfram.com/language/ref/NumberLinePlot.html (updated 2019).
CMS
Wolfram Language. 2014. "NumberLinePlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2019. https://reference.wolfram.com/language/ref/NumberLinePlot.html.
APA
Wolfram Language. (2014). NumberLinePlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NumberLinePlot.html