In order to graph systems of inequalities you first graph the equation like you normally would. For example, if your equation is 2x-3y>12 you would graph the line 2x-3y=12. You can also graph parabolas using the equation y=(x-h)^2+k and circles using the equation x^2+y^2=r^2. After you graph you pick a test point that is not on the line, for example (0, 0) as long as your line/graph does not pass through that point. Plug the test point into the equation and if the point satisfies the equation then shade the plane that contains the test point. If the point does not satisfy the equation then shade the plane that does not contain the test point. The shaded portion is the answer. Here is an example of a graph of an inequality.
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