Directions say that I have to solve and graph the equation using words.I have to include whether the lines are dotted or solid, how to graph each of them and where the solution is shaded.

2x-3y>_9 and -x-4y>_8

both should be solid, because the solution is greater than OR equal to the line.

which way should the shading be though?

solve for y in each equation, and it answers your question.

2x-3y>=9
y<=-3+2x/3 so the area BELOW y (y is less than or equal to the line..)
check my math

and
y<=-1/4 x -8 again, it says y is on or below the line...(less than or equal)

what.?