# Wolfram Language & System 10.4 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
BUILT-IN WOLFRAM LANGUAGE SYMBOL

# Interval

Interval[{min,max}]
represents the range of values between min and max.

Interval[{min1,max1},{min2,max2},]
represents the union of the ranges to , to , .

## DetailsDetails

• You can perform arithmetic and other operations on Interval objects.
• Interval[{min,max}] represents the closed interval that includes both end points.
• Min[interval] and Max[interval] give the end points of an interval.
• For approximate machine or arbitraryprecision numbers x, Interval[x] yields an interval reflecting the uncertainty in x.
• In operations on intervals that involve approximate numbers, the Wolfram Language always rounds lower limits down and upper limits up.
• Interval can be used as a geometric region.
• Interval can be generated by functions such as Limit.
• Relational operators such as Equal and Less yield explicit True or False results whenever they are given disjoint intervals.

## ExamplesExamplesopen allclose all

### Basic Examples  (2)Basic Examples  (2)

Add intervals, getting an interval representing the result:

 In[1]:=
 Out[1]=

Indeterminate limits can give intervals:

 In[1]:=
 Out[1]=