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a way of writing the set of all real numbers between two endpoints. the symbols [ and ] are used to include an endpoint in an interval, and the symbols ( and ) are used to exclude an endpoint from an interval
half open half closed intervals
are (a,b] consists of all real numbers x were a<x≤b, & [a,b) consists of all real numbers x were a≤x<b
infinity not a real number but a symbol that represents unboundedness in a positive direction; not included in endpoints since not a real number
negative infinity not a real number but a symbol that represents unboundedness in a negative direction; not included in endpoints since not a real number
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