Question

How do you solve and graph `-13m > -26`?

Answer 1

`m < 2`

Explanation:

To solve this, divide both sides by `color(blue)(-13)`. However, when we multiply or divide a negative value, the inequality sign switches to its opposite. In this case, it would change to `<`.

Therefore:
`(-13m)/color(blue)(-13) color(blue)(<) (-26)/color(blue)(-13)`

`m < 2`

This can be said as "`m` is less than `2`."

Here's a graph of it on a number line:

(mathwarehouse.com)

The open circle on the `2` reveals that it cannot be `2` (but anything less than it).

Hope this helps!