#1**+10 **

Let's start by simplifying this nasty inequality.

\(3x+11>6x+8\)

\((3x-6x)+(11-11)>(6x-6x)+(8-11)\)

\(-3x>-3\) {nl}

There is something very important here, there is a rule, that when you multiply an inequality by a negative number (we are doing this to get rid of the negative signs) you "flip" the inequality sign.

\((-3x)(-1)>(-3)(-1)\)

\(3x<3\)

\(\frac{3x}{3}<\frac{3}{3}\)

\(x<1\)

As for graphing, we know that we have a < sign. That means that while x is less than 1, it cannot be **equal** to 1. This means that we would dotted line that shows the border of our inequality. This should suffice: https://www.desmos.com/calculator/fkzvmzvg9t

I hope this was helpful!

ItzCubezDec 1, 2016