Intervals and Interval Notation
Definition
An interval is a connected set of the real numbers.
Finite Intervals
The Following table contains finite intervals and their associated representations.
Interval Notation |
Set Notation |
Geometric Representation on a Number Line |
|
( a, b ) |
a < x < b |
|
|
[ a, b ) |
a < x < b |
|
|
( a, b ] |
a < x < b |
|
|
[ a, b ] |
a < x < b |
|
Now find intervals for yourself!
Infinite Intervals
The Following table contains infinite intervals and their associated representations.
Interval Notation |
Set Notation |
Geometric Representation on a Number Line |
|
( a, ¥ ) |
a < x |
|
|
[ a, ¥ ) |
a < x |
|
|
( - ¥, a ) |
x < a |
|
|
( - ¥, a ] |
x < a |
|
Now find finite and infinite intervals for yourself!