SOLUTION: How do I graph the inequality x + 3y < 6?

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Question 177078: How do I graph the inequality x + 3y < 6?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I graph the inequality x + 3y < 6
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You NEVER graph an inequality directly.
You first must graph the corresponding EQUALITY, which
is the boundary of the inequality.
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Graph y = (-1/3)x + 2
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-1%2F3%29x%2B2%29
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Since your inequality is y < (-1/3)x +2, you shade the
half-plane BELOW the boundary line.
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That shaded area is the graph of the inequality.
Cheers,
Stan H.