Question 418004
<pre><font face = "consolas" color = "indigo" size = 4><b>
x + 2y <u><</u> 6
2x + y <u><</u> 6
     x <u>></u> 0
     y <u>></u> 0

Plot the boundary lines whose equations are
like the above inequalities except that the
inequality signs are replaced by equal signs.

x + 2y = 6
2x + y = 6
     x = 0 (the y-axis)
     y = 0 (the x-axis)

{{{graph(400,400,-.9,7,-.9,7,

(6-x)/2,
6-2x)

}}}  

Shade the part that is under the red and green lines,
and above the x-axis and to the right of the y-axis.

That is, you will end up with just this quadrilateral:

{{{drawing(400,400,-.9,7,-.9,7,

red(line(0,3,2,2)), green(line(3,0,2,2)),

graph(400,400,-.9,7,-.9,7),
locate(.5,1.2,"shade_this") 


 )


}}}
Edwin</pre>