SOLUTION: if i graph 4< -2y+3x i would simplify it to 1.5x+-2<4. i graphed this and now i dont understand which sides of the graphs to shade. HELP!! :)

Algebra ->  Inequalities -> SOLUTION: if i graph 4< -2y+3x i would simplify it to 1.5x+-2<4. i graphed this and now i dont understand which sides of the graphs to shade. HELP!! :)      Log On


   

Question 247453: if i graph 4< -2y+3x i would simplify it to 1.5x+-2<4. i graphed this and now i dont understand which sides of the graphs to shade. HELP!! :)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if i graph 4< -2y+3x i would simplify it to 1.5x+-2<4.
i graphed this and now i dont understand which sides of the graphs to shade.
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Solve for y:
2y+4 < 3x
2y < 3x-4
y <(3/2)x-2
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Graph the line y = (3/2)x-2. This is the boundary of the inequality.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%283%2F2%29x-2%29
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Important: Since you want y to LESS than (3/2)x-2, hatch the half-plane
BELOW the boundary.
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C%283%2F2%29x-2%29
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Cheers,
Stan H.