How do you solve and graph #-3n > 9#?

1 Answer
Shantelle
Jul 25, 2018

#n < -3#

Explanation:

#-3n > 9#

To solve for #n#, divide 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 #<#:
#(-3n)/color(blue)(-3) color(blue)(<) 9/color(blue)(-3)#

Therefore,
#n < -3#

Here's a graph of it on a number line:
enter image source here
(mathwarehouse.com)

The open circle on the #-3# means that it is no a solution (but anything less than it is).

Hope this helps!

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