Question

How do you graph the inequality `-7k < 63`?

Answer 1

`k > -9`

Explanation:

Before we graph it, let's solve it.

To solve for `k`, we need to divide both sides by `-7`. However, when we multiply or divide in an inequality expression, the inequality sign changes to its opposite. In this example, the `<` will become a `>`.

`(-7k)/color(blue)(-7) color(blue)(>) 63/color(blue)(-7)`

`k > -9`

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

(mathwarehouse.com)

The open circle means that `-9` is not a solution (but anything greater than it is).

Hope this helps!