BUILT-IN MATHEMATICA 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 arbitrary-precision numbers x, Interval[x] yields an interval reflecting the uncertainty in x.
• In operations on intervals that involve approximate numbers, Mathematica always rounds lower limits down and upper limits up.
• 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:

 Out[1]=

Indeterminate limits can give intervals:

 Out[1]=