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Home : Math & Science : Math Study Guides : Algebra II : Inequalities : Solving Systems of Inequalities
Solving Systems of Inequalities
Solving Systems of Inequalities
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
2y + x < 2
Graph of the System
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:
Example 2: Solve the following system of inequalities:
y≥x2 - 2
x≥ - 3y + 6
x≥ - 3y + 6
Graph of the System
Once again, the darkest shaded region is the solution to the system--all the points in that region satisfy both inequalities.
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