Number line article

Inequalities show the relation between two expressions that are not equal.

Below are some examples of inequalities

We can use a number line to show the possible solutions to an inequality.

An inequality like $x>4$‍ tells us that $x$‍ can be any value greater than $4$‍.

We can show this on a number line by putting an open circle on $4$‍ and shading the numbers that are greater than $4$‍.

If we have either the $\underset{―}{>}$‍ or $\underset{―}{<}$‍ symbol in our inequality, we shade in the circle to show that the variable may be equal to that number.

For example, $y\underset{―}{<}3$‍ is graphed as follows:

This number line shows that $y$‍ is either equal to $3$‍ or less than $3$‍.