Question 266770: graph the system of inequalities: x+2y<=8, 2x+y<=0, x>=0, y>=0
Answer by Edwin McCravy(20060)   (Show Source):
You can put this solution on YOUR website! 
Solve the first two for y
plot the boundary equations, which are the original inequalities
with equal signs in place of inequality signs.
The last two are the y and x axes, respectively.
 says we are on to the right of the y-axis,
and  says we are on or above the x-axis,
Since the inequalities for the green and red lines are both
 , the solution set is on or under both of them,
on or right of the y-axis, and on or above the x-axis.
There is only one point that satisfies all these, and that
is the one point (0,0), the origin.
So the solution set is { (0,0) }
Edwin
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