SOLUTION: How do you graph 12x-8y less than (sign)24?

Question 508225: How do you graph 12x-8y less than (sign)24?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
graph 12x-8y less than (sign)24
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12x-8y < 24
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Divide thru by 4 to get:
3x - 2y < 6
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1st: Graph the boundary, which is ALWAYS an equality:
3x-2y = 6
2y = 3x-6
y = (3/2)x-3
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Graph that as a dashed line because it is the boundary.
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2nd: Shade the appropriate side of the boundary.
3x - 2y <6
2y > 3x-6
y > (3/2)x-3
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Since you want y LESS than the line, shade
the half-plane BELOW the boundary.
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Cheers,
Stan H.
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