SOLUTION: Graph the following system of equations. Describe both lines and the final graph. x+y>=3 x-4y>-4

Algebra ->  Graphs -> SOLUTION: Graph the following system of equations. Describe both lines and the final graph. x+y>=3 x-4y>-4      Log On


   

Question 194524: Graph the following system of equations. Describe both lines and the final graph.
x+y>=3
x-4y>-4
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the following system of equations. Describe both lines and the final graph.
x+y>=3
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Graph y = -x+3 which is the boundary line for the inequality:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%2B3%29
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Since you want y GREATER than the line, shade the half-plane ABOVE the line.
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x-4y>-4
x+4 > 4y
y < (1/4)x + 1
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Graph the boundary line y = (1/4)x+4 as a dashed line:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F4%29x%2B4%29
Since you want y to be LESS than the line, shade the half-plane BELOW the line.
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Cheers,
Stan H.