SOLUTION: Graph each of the following inequalities. 3x-4y<12

Question 73716: Graph each of the following inequalities.
3x-4y<12
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
First graph the equation:
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3x - 4y = 12
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You can do this easily by first setting x equal to 0. This reduces the equation to:
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-4y = 12
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Dividing both sides of this by -4 results in y = -3. So you know that the point x = 0 and y = -3
or (0, -3) is one point on the graph.
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Next set y equal to 0. This reduces the equation to:
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3x = 12
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Dividing both sides of this by 3 results in:
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x = 4. Therefore, when y is 0 then x is +4 so the point (4, 0) is on the graph.
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If you draw the graph of this equation you get the following:
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The equation tells you that the left side (3x - 4y) equals 12. But the problem says that
(3x - 4y) is less than 12. So any solution that is below the graph is less than 12.
Shade in the entire area below (but not including) the line. This shaded region is all the
(x,y) points that will make the left side of this equation smaller than 12.
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Hope this helps you to understand this inequality problem.
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