SOLUTION: what graph best represent the solution to the following system 3x + y < 1 -x + y <=2

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Question 933201: what graph best represent the solution to the following system
3x + y < 1
-x + y <=2
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
3x+%2B+y+%3C+1
-x+%2B+y+%3C=2
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y+%3C-3x%2B+1
y+%3C=x%2B2
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intersection point will be there where both y's equal:
x%2B2=-3x%2B+1
x%2B3x=-2%2B+1
4x=-1
x=-1%2F4
so, if x=-1%2F4 then
y+%3C-3%28-1%2F4%29%2B+1=> y+%3C3%2F4%2B+1=> y+%3C7%2F4
and
y+%3C=x%2B2=>y+%3C=%28-1%2F4%29%2B4%2F4=>y+%3C=3%2F4

+graph%28600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+y=x%2B2%2Cy=-3x%2B+1%29+

to shade solution


shade the part between yellow and blue line on red background