SOLUTION: x+y<=5 x+2y<=8 x>=0,y>=0

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Question 991559: x+y<=5
x+2y<=8
x>=0,y>=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First graph the line x%2By=5
x intercept :(5,0)
y intercept :(0,5)
Choose a point not on the line.
(0,0) is convenient.
Test the inequality.
If the inequality is true, shade the region containing (0,0).
0%2B0%3C=5
0%3C=5
True.
.
.
.
.
Similarly graph the line x%2B2y=8
x intercept :(8,0)
y intercept :(0,4)
Choose a point not on the line.
(0,0) is convenient.
Test the inequality.
0%2B2%280%29%3C=8
0%3C=8
True.
.
So putting those together gets you the green region shown here.
.