SOLUTION: How do you graph the solution set of the following system of linear inequalities in a rectangular coordinate system: 2x+2y>6 x<5 y>-2 _

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Question 668601: How do you graph the solution set of the following system of linear inequalities in a rectangular coordinate system:
2x+2y>6
x<5
y>-2
_
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
system%28red%282x%2B2y%3E6%29%2C++%0D%0A+blue%28x%3C5%29%2C%0D%0A+green%28y%3E-2%29%29

We graph the three boundary lines, and we draw them all as
dotted lines because the inequalities are < and > and not
≦ and ≧.

system%28red%282x%2B2y=6%29%2C++%0D%0A+blue%28x=5%29%2C%0D%0A+green%28y=-2%29%29



We use the origin (0,0) as a test point,
Substituting x=0, y=0 in each gives:



The red inequality is false, so the region to shade is above and
to the right of the red dotted line, because (0,0) is NOT on that 
side of the red line.
The blue inequality is true, so the region to shade is to the left
of the blue line, because (0,0) IS on that side of the blue line. 
The green inequality is true, so the region to shade is above
the green line, because (0,0) IS on that side of the green line. 

Therefore the region to shade is



Edwin