Question 118702
x – y <= 3; 	x + 2y <=6
:
Put both equations in the "y =" form that we can graph:

x - y <= 3
-y <= -x + 3
We need y to be positive, mult by -1, this reverses the inequality sign
y >= x - 3
and
x + 2y <= 6
2y <= -x + 6
y <= -.5x + 3; divided equation by 2
:
Plot the lines of these two equations: they should look like this:
y >= x - 3; purple
y <= -.5x + 3; green 
{{{ graph( 300, 200, -4, 6, -6, 6, x-3, -.5x+3) }}}
:
Shade the area at and above the purple line
Shade the area at and below the green line
:
The solution area is the portion that is shaded by both, (a triangular area that opens to the left)
:
Did this help? If you don't know how to plot a graph, let me know, and we can go over that.