Plotting inequalities on number lines
Inequalities can be represented on a number line.
Use a hollow dot for:
< and >
Use a solid dot for:
≤ and
≥Example
Example
This shows
x is greater than or equal to : -1
Number line showing
x is greater than or equal to -1
x≥−1Example
This shows
x is less than : 2
Number line showing
x is less than 2
x<2Example
This shows that
x is greater than or equal to -1 and
x is less than 3 :
Number line showing that
x is greater than or equal to-1, and less than 3
x≥−1 and
x<3Which can be written as
−1≤x<3, which reads -1 is less than or equal to
x and
x is less than 3 Notice that we can change the order of the first part and it still means the same thing.
x≥−1 means as
−1≤x