Question

How do you solve `4 >=x/-2`?

Answer 1

`x >= -8`

Explanation:

`4 >= x/-2`

To solve this, multiply both sides by `color(blue)(-2)`. However, we know that when we multiply or divide by a negative number, the inequality sign changes to its opposite. In this case, it would change to `<=`
`4 * -2 color(blue)(<=) x/-2 * -2`

`-8 <= x`

`x >= -8`

This can be said as "`x` is more than or equal to `-8`."

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

(mathwarehouse.com)

The closed circle on `-8` means that `-8` is one of the solutions (and also anything more than it).

Hope this helps!