Question

How can you solve, write and graph inequalities on a number line?

Answer 1

Let's use the following inequation as an example:

`2y>6`

First let's simplify it dividing the inequation by 2:

`y>3`

Now, let's draw a number line, and include the point 3 in it:

We want the values of y that are greater than 3, that is, the numbers to the right of the number 3 in the number line. So we mark the area that corresponds to the values of y that satisfies the inequation:

The number 3 is not part of the answer, because 3 is not greater than 3, so we draw a small empty circle on the number 3. If the number 3 was part of the answer, the circle would be filled.