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

1 Answer
Jul 21, 2018

Answer:

#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:
enter image source here
(mathwarehouse.com)

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

Hope this helps!