solving linear equations- graphing

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!