SOLUTION: Is the solution region bounded or unbounded? -x+3y>=6 2x-y<=4 x>=0 y>=0

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Question 1182151: Is the solution region bounded or unbounded?
-x+3y>=6
2x-y<=4
x>=0
y>=0
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Is the solution region bounded or unbounded?
-x+3y>=6
2x-y<=4
x>=0
y>=0
~~~~~~~~~~~~~~~

                            See the plot 

    graph%28400%2C400%2C-2%2C10%2C-2%2C10%2C%0D%0A+++++++++++++%286%2Bx%29%2F3%2C+2x-4%0D%0A%29


        Lines  -x + 3y = 6 (red) and 2x-y = 4 (green)


The solution set is the part of QI, adjacent to y-axis, which is above the red line and above the green line (the lines are included).


This domain (the solution set) is UNBOUNDED.