Answer
Please see the graph.
Work Step by Step
x+6y<6
To find the boundary line, the > sign is replaced with an = sign.
x+6y=6
Let x=0 (y-intercept)
x+6y=6
0+6y=6
6y=6
6y/6=6/6
y=1
(0,1)
Let y=0 (x-intercept)
x+6y=6
x+6*0=6
x+0=6
x=6
(6,0)
Use (0,0) to determine what side of the line to shade.
x+6y<6
0+0<6
0<6 is a true statement, so shade the side of the line with (0,0).