Answer
Please see the graph.
Work Step by Step
Blue line: $x+3y\le6$
Orange line: $x\ge3y$
To determine what sides of the lines to shade, we use a point not on the line. We can use (1,1) for the lines.
Blue line:
$x+3y\le6$
$1+3*1\le6$
$1+3\le6$
$4\le6$ (true, so we shade the left side of the line)
Orange line:
$x\ge3y$
$1\ge3*1$
$1\ge3$ (false, so we shade the right side of the line)
The solution area is the overlap of the two inequalities.
