System of Inequalities
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Definition of System of Inequalities
A System of Equations is a set of two or more equations with the same variables graphed on the same coordinate plane.
Examples of System of Inequalities

The figure below shows the graph of the system of inequalities
2x  6y < 12, 3x + 4y < 12, and 4x + 2y ≥ 8.
Video Examples: Algebra 2 Solving Systems of Equations
Solved Example on System of Inequalities
Ques: Which of the graphs defines the system of inequalities, x + y < 3,  5x + 2y ≤ 10, y ≥  3?.
Choices:
A. Graph1B. Graph2
C. Graph3
D. Graph4
Correct Answer: A
Solution:

Step 1: Graph all the three inequalities in the same coordinate plane.
Step 3: The graph of  5x + 2y ≤ 10 is the halfplane on and below the solid line  5x + 2y = 10.
Step 4: The graph of y ≥  3 is the halfplane 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: Graph1 is the correct answer.
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