Solved Example on System of Inequalities
Which of the graphs defines the system of inequalities, 
?
Choices:
A. Graph-1
B. Graph-2
C. Graph-3
D. Graph-4
Correct Answer: A
Solution:
Step 1: Graph all the three inequalities in the same coordinate plane.
Step 2: The graph of 
is the half-plane below the dashed line x + y = 3.
Step 3: The graph of 
is the half-plane on and below the solid line 
Step 4: The graph of 
is the half-plane on and above the solid line
y = - 3.
Step 5: The graph of the system is the intersection of the three half planes as shown in the graph.
Step 6: Graph-1 is the correct answer.
Related Terms for System of Inequalities
- Inequalities
- Variables
- Coordinate Plane
Additional Links for S ystem of Inequalities
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