Interval Notation
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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