Question 85722: Graph the inequality.
2x + 3y > 6
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! 22.
Start with the given system of inequalities
In order to graph this system of inequalities, we need to graph each inequality one at a time.
So lets graph the first inequality
In order to graph we need to graph the equation  (just replace the inequality sign with an equal sign). So lets graph the line (note: if you need help with graphing, check out this solver)
 graph of
Now lets pick a test point, say (0,0) (any point will work, but this point is the easiest to work with), and evaluate the inequality
 Plug in x=0, y=0
 Simplify
Since this inequality is not true, we shade the entire region that doesn't contain (0,0)
Here is the graph of with the graph of the line() in red and the shaded region in green
(note: The red line should be a dashed line since it is not included in the region. Since the inequalityis a > sign, it tells us not to include the boundaries.)
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