1. 3.3 SYSTEMS OF INEQUALITIES

2. 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

3. 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

4. SOLVE THE SYSTEM BY GRAPHING

5. SOLVE THE SYSTEM BY GRAPHING

6. SOLVE THE SYSTEM BY GRAPHING

7. SOLVE THE SYSTEM BY GRAPHING

8. SOLVE THE SYSTEM BY GRAPHING

9. SOLVE THE SYSTEM BY GRAPHING

10. ASSIGNMENT
 Page153 #11 – 21
odd, 22, 24, 26, 36, 41, 46, 47, 54