How do you solve and graph #g+6<2#?

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Answer 1 · 2017-07-20T22:39:35

#g<-4#

Simply subtract #6# from each side like an equation. Although this is an inequality, treat it as an equation first. In other words now it looks like:

#g+6=2#

Now subtract #6#:

#g=-4#

Now instead of the equal sign, substitute the less than symbol back in to make it an inequality again.

On a graph, it would look something like this:

Image Credits: Mathway .com

This means anything less that #-4# will satisfy this inequality. Let's take #-8# for example:

First, substitute it in for #g#:

#-8+6<2#

#-8+6=-2#

Now insert the other side of the inequality:

#-2<2#

Is this true? Yes! #-2# is less than #2#. Therefore this number checks out.

Answer: #g=-4#