# How do you graph an inequality on a number line?

Nov 28, 2014

Inequalities represent a range of values, rather than a single value.

Let's see some examples to understand better.

Let us consider the inequality
$x > 2$

This would mean $x$ can be any value greater than $2$, not including $2$.

This is represented by a line starting from $2$, and extending indefinitely (marked by an arrow head). Note that at $2$, there is a small empty circle which represents that $2$ is not included.

In case the inequality was
$x \ge 2$

It would mean that $2$ has also been included. Thus, the small circle on 2 would be filled, as:

In case you can't draw on the number line, you can also show the range just above the number.

$5 > x \ge - 2$