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

1 Answer
Jul 24, 2018

Answer:

#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:
enter image source here
(mathwarehouse.com)

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

Hope this helps!