SOLUTION: Graph the following inequality. 3x-4y<12

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Question 74207: Graph the following inequality.
3x-4y<12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for y
3x-4y%3C12
-4y%3C12-3x
y%3E-3%2B%283%2F4%29x
So to graph the inequality, graph the equation first y=-3%2B%283%2F4%29x
graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-3%2B%283%2F4%29x%29+
Now plug in any values for x and y to test the inequality. Its easy to choose (0,0). So plug in x=0 and y=0 into 3x-4y%3C12
3%280%29-4%280%29%3C12
0%3C12works. This means that the region containing the point (0,0) will be shaded, which is the region above the graph.