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Lesson: Solving Systems of Inequalities

Learn how to solve systems of linear inequalities in this lesson. Learn how to correctly graph inequalities and then how to identify the regions which represent the solution to a system of inequalities.

Video: Graph Two-variable Inequalities

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Worksheet: Systems of Inequalities • 14 Questions

Q1:

State the system of inequalities whose solution is represented by the following graph.

A, , , ,
B, , , ,
C, , , ,
D, , , ,
E, , , ,

Q2:

State the system of inequalities whose solution is represented by the following graph.

A, , , ,
B, , , ,
C, , , ,
D, , , ,
E, , , ,

Q3:

State the system of inequalities whose solution is represented by the following graph.

A, , , ,
B, , , ,
C, , , ,
D, , , ,
E, , , ,

Q4:

State the system of inequalities whose solution is represented by the following graph.

A, , , ,
B, , , ,
C, , , ,
D, , , ,
E, , , ,

Q5:

State the system of inequalities whose solution is represented by the following graph.

A, , , ,
B, , , ,
C, , , ,
D, , , ,
E, , , ,

Q6:

State the system of inequalities whose solution is represented by the following graph.

A,
B,
C,
D,

Q7:

State the system of inequalities whose solution is represented by the following graph.

A,
B,
C,
D,

Q8:

State the system of inequalities whose solution is represented by the following graph.

A,
B,
C,
D,
E,

Q9:

State the system of inequalities whose solution is represented by the following graph.

A,
B,
C,
D,
E,

Q10:

Which of the points below belongs to the solution set of the system of inequalities represented by the figure shown?

A
B
C
D

Q11:

Which of the points below belongs to the solution set of the system of inequalities represented by the figure shown?