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
3x3<33
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!