We have the next inequality
-3y< 6x-18
We need to isolate the y because the y is multiplying a negative number the sense of the inequality will change
we simplify and we solve the inequality for y
Let's calculate now some points of the boundary line
the boundary line is
If x=-2
y=-2(-2)+6=4+6=10
Point (-2,10)
If x=0
y=-2(0)+6=6
Point (0,6)
if x=2
t=-2(2)+6=-4+6=2
Point (2,2)
Then the boundary line will be a dashed line because we have a a sign greater than and the solution area will be above this boundary line
Therefore the graph of this inequality