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SYSTEMS OF INEQUALITIES A system of equations consists of two or more equations A system of inequalities consists of two or more inequalities The solution of an inequality (from chapter 2) is the shaded region of the coordinate plane The solution of a system of inequalities is the region of the graph that is shaded by BOTH individual inequalities
SOLVING A SYSTEM OF INEQUALITIES Graphing is usually the most appropriate method The solution is the set of all points that are solutions of both inequality in the system 1. Graph the first inequality 2. Graph the second inequality 3. The solution is the overlap of the two half-plane solutions from steps 1 & 2 4. To check, use a test point