Question

How do you graph an inequality on a number line?

Answer 1

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>=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.

If your inequality is
`5>x>=-2`

You can represent it as:

---

Following are some great examples that I got from here.