This week in Foundations 11 we learned about graphing linear inequalities. I believe that the most important concept that we learned was how to figure out what side to shade when graphing the line on the graph. To be able to figure out what side to shade, you must pick any point on the graph that is not on the line. You then replace X and Y in your equation with the X and Y numbers from the point you chose. After you have inserted the new values in the equation, you solve it, and if it is true, you shade the side with the point you chose. If the equation is incorrect, you shade the opposite side of the line that does not include the point you chose.

Example:

In my example I used y<6x+4 and I plotted it on the graph. Since the equation does not go through (0.0), I used that point and replaced it in the equation. When I inserted (0,0) into the inequality, it was correct, meaning I shaded the side that included (0,0).