# 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 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,}
• places all of the speci at the same height above the axis.
• With the default setting of , the ratio is chosen based on the layout of the speci.

# Examples

open allclose all

## Basic Examples(5)

Show the first 10 prime numbers on a number line:

Display an interval:

Show where an inequality is true:

Show an infinite interval:

Show several sets on a single number line:

## Scope(8)

### Data(7)

Show multiple sets:

Use Interval and single points:

Group intervals and points into a single list to represent a single set:

Use an inequality:

Use a logical conjunction of equalities and inequalities:

Use a list to represent more than one set:

Use a more complicated inequality:

### Presentation(1)

Use a theme with dark background and high-contrast colors:

Use a theme with detailed information:

## 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)

By default, different styles are chosen for multiple curves:

Explicitly specify the style for different curves:

Specify styles for the endpoints:

### PlotTheme(1)

Use a theme with simple ticks and bright colors:

Change the colors:

### Spacings(4)

By default, sets are evenly spaced above the axis:

Use to place the sets on top of one another:

Use Spacings->0 to place all the sets on the axis:

Place the second set close to the first set:

## Applications(5)

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:

## Properties & Relations(2)

Use RegionPlot and RegionPlot3D for showing higher-dimensional regions:

Use ListPlot and ListLinePlot to show numbers as a list of heights:

Introduced in 2014
(10.0)
|
Updated in 2019
(12.0)