Notes

http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut24_ineq.htm

Step 2: Plug in a test point that is not on the boundary line.


Note how the boundary line separates it into two parts.
An easy test point would be (0, 0). Note that it is a point that is not on the boundary line. In fact, it is located below the boundary line.

Let’s put (0, 0) into the original problem and see what happens:



example 1f

*Replacing x and y with 0
*False statement


Step 3: Shade in the answer to the inequality.


Since our test point (0, 0) made our inequality FALSE, this means it is not a solution.
Since it has to be on one side or the other of the boundary line, and it is not below it, then our solution would lie above the boundary line. This means we will shade in the part that is above it.

Note that the gray lines indicate where you would shade your final answer.

example 1g