SOLUTION: Graph the inequality 3x-7y<-21

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Question 935218: Graph the inequality
3x-7y<-21

Found 2 solutions by TimothyLamb, stanbon:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
3x - 7y < -21
-7y < -3x - 21
y < (-3/-7)x - (21/-7)
y < (3/7)x + (21/7)
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find two points on the graph:
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x = 0
y = (3/7)0 + (21/7)
y = 3
(0,3)
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x = 7
y = (3/7)7 + (21/7)
y = (21/7) + (21/7)
y = (42/7)
y = 6
(7,6)
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on a piece of graph paper draw a dotted line through both points
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the graph of the inequality is the area below the dotted line, because of the "y <" condition
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the inequality
3x-7y<-21
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7y > 3x+21
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y > (3/7)x + 3
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Sketch the line y = (3/7)x + 3 as a dashed line.
Use points (0,3), (-7,0)
Shade the half-plane ABOVE the dashed line because
you want y GREATER THAN (3/7x)+3.
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cy%3E%283%2F7%29x%2B3%29
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Cheers,
Stan H.
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