Interval Notation - Ohio State University

[Pages:1]Inequality a < x < b a x b a x < b a < x b

a < x a x x < b x b All Real Numbers

Interval Notation

Interval Notation

Set-Builder Notation

(a, b)

{ x | a < x < b}

[a, b]

{ x | a x b}

[a, b)

{ x | a x < b}

(a, b]

{ x | a < x b}

(a, )

{ x | a < x }

[a, )

{ x | a x}

(?, b)

{ x | x < b}

(?, b]

{ x | x b}

(?, )

Graph

(

)

a

b

[

]

a

b

[

)

a

b

(

]

a

b

( a

[ a

) b

] b

Note that on the graph [ and ] are the same as ? and ( and ) are the same as .

The symbol represents the union of two or more sets. It is used to combine two (or

more) intervals together to make a single set. Example: (- 9, - 3) [2, 5) This means that you have the interval (- 9, - 3) and the interval [2, 5).

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