Solving systems of inequalities with two variables is similar to solving
systems of inequalities with one variable. First, graph each
inequality, lightly shading their respective regions. The region that
is shaded in the graphs of both inequalities--the
intersection of the two--is the
solution to the system of inequalities.
Example 1: Solve the following system of inequalities:
2x - y≤2 2y + x < 2
The darkest shaded region is the solution to the system--all the
points in that region satisfy both inequalities.
PARGRAPH
Example 2: Solve the following system of inequalities:
y≥x^{2} - 2 x≥ - 3y + 6
Once again, the darkest shaded region is the solution to the
system--all the points in that region satisfy both inequalities.