7.6 system of inequalities

Today in class we dashed towards a whole new direction in our mathland: system of INEQUALITIES!
How to yield a graph of the unequal equations:
1. replace the unequal sign with an equal sign.
2. sketch the graph of the now equal equation.
   CAUTION:  dashed line -> less than OR greater than
                        solid line-> less/greater than AND equal to
3. test one possible answer in each of the regions formed by the graph. If the point is within the range of the inequality, color the whole region to symbolize that every point in this region satisfies the inequality
4. a solution of a system of unequal equations in x and y are (x,y) that satisfies both inequalities.
5.for a system of inequalities, it is important to find the vertices of the solution region.

Now let's try one problem!
Example: x-y<2
               x>-2
               y<3

The triangular region below can be found by putting the three graphs on the same coordinate system.

Question outside this lecture:

Now how can you find the vertices?