An interval can be denoted in different ways. One way is the interval notation, using [] and ().
The interval above can be described with an inequality as
-1≤x<2
where ≤ indicates that the endpoint is included and < that it's not. The inequality can be translated to interval notation where [ indicates that the endpoint is included and ) that it's not.
[-1,2)
The interval can then be read as all numbers greater and equal to -1 and less than 2.
For more examples see the table below.
Inequality | Interval Notation |
---|---|
0<x<24 | (0,24) |
0.1≤y≤2.7 | [0.1,2.7] |
3≤x | [3,∞) |
z<899 | (-∞,899) |
Note that if the variable only has one limit, the other is infinity and is not included in the interval.