How do you graph an inequality on a number line?

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How do you graph an inequality on a number line?

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Answer 1 · 2014-11-28T18:56:26

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

Let's see some examples to understand better.

Let us consider the inequality
$x > 2$ $x>2$

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

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

enter image source here

In case the inequality was
$x \geq 2$ $x>=2$

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

enter image source here

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

If your inequality is
$5 > x \geq - 2$ $5>x>=-2$

You can represent it as:

enter image source here

Following are some great examples that I got from [here.](http://www.mathwarehouse.com/number-lines/graph-inequality-on-number-line.php)

enter image source here

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How do you graph an inequality on a number line?

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