SOLUTION: solve the system of inequalities by graphing. if the system does not have a solution, write no solution. 2y+x<4 3x-y>1

Algebra ->  Graphs -> SOLUTION: solve the system of inequalities by graphing. if the system does not have a solution, write no solution. 2y+x<4 3x-y>1      Log On


   

Question 63530This question is from textbook Algebra Concepts and Aplications
: solve the system of inequalities by graphing. if the system does not have a solution, write no solution.
2y+x<4
3x-y>1 This question is from textbook Algebra Concepts and Aplications

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2y+x<4
3x-y>1
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solve each for "y" to get:
y<(-1/2)x+2
y>3x-1
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Graph the equality:
y=(-1/2)x+2
y=3x-1
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Your graph is the intersection of the half-planes
below y=(-1/2)x+2 and above y=3x-1.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-1%2F2%29x%2B2%2C3x-1%29
Cheers,
Stan H.