SOLUTION: Graph the inequality on a plane. I do not get how to do these problems, I always get them wrong no matter how many times I try them. x+y<3

Algebra ->  Graphs -> SOLUTION: Graph the inequality on a plane. I do not get how to do these problems, I always get them wrong no matter how many times I try them. x+y<3      Log On


   



Question 221278: Graph the inequality on a plane. I do not get how to do these problems, I always get them wrong no matter how many times I try them.
x+y<3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the inequality on a plane. I do not get how to do these problems, I always get them wrong no matter how many times I try them.
x+y<3
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1st: Solve for "y":
y < -x+3
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2nd: Graph the boundary: y EQUALS -x+3
Plot two points and draw a dashed line thru them:
(0,3),(3,0) for example
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%2B3%29
------------
3rd: Since you want y LESS THAN -x+3,
shade the half-plane BELOW the boundary.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C-x%2B3%29
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Cheers,
Stan H.