Question

How do you solve and graph `-h/10<=2`?

Answer 1

`h >= -20`

Explanation:

`-h/10 <= 2`

To solve for `h`, multiply both sides by `color(blue)(-3)`. However, when we multiply or divide by a negative value in inequalities, the sign changes. In this example, the `<=` would change to `>=`:
`-h/10 * -10 color(blue)(>=) 2 * -10`

Therefore,
`h >= -20`

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

(mathwarehouse.com)

The closed circle on `-20` means that it is a solution (and anything more than it is too).

Hope this helps!