# Worksheet: Solving Systems of Linear Inequalities

In this worksheet, we will practice solving systems of linear inequalities by graphing them and identifying the regions representing the solution.

Q1:

State the system of inequalities whose solution is represented by the following graph. • A,
• B,
• C,
• D,

Q2:

State the system of inequalities whose solution is represented by the following graph. • A,
• B,
• C,
• D,
• E,

Q3:

Which of the points below belongs to the solution set of the system of inequalities represented by the figure shown? • A
• B
• C
• D

Q4:

State the system of inequalities whose solution is represented by the following graph. • A, , , ,
• B, , , ,
• C, , , ,
• D, , , ,
• E, , , ,

Q5:

Find the solution set of the linear inequalities shown below. • A
• B
• C
• D

Q6:

Which regions on the graph contain solutions that satisfy both of the inequalities • A and
• B and
• C and
• D and
• E and

Q7:

Which regions on the graph contain solutions to both of the inequalities • A and
• B and
• C and
• D and
• E and

Q8:

Which region on the graph contains solutions to the set of inequalities • A
• B
• C
• D
• E

Q9:

Use the graph to identify which of the following points is a solution to the system of inequalities • A
• B
• C
• D
• E

Q10:

Use the graph to identify which of the following points is a solution to the set of inequalities. • A
• B
• C
• D
• E

Q11:

Which of the regions on the graph contain solutions to the inequality ? • A, , , and
• B, , , and
• C, , , and
• D, , , and
• E, , , and

Q12:

Use the graph to identify which of the following points is NOT a solution to the given set of inequalities. • A
• B
• C
• D
• E

Q13:

Which region on the graph contains solutions to the set of inequalities • A
• B
• C
• D
• E

Q14:

Which region on the graph contains solutions to the set of inequalities • A
• B
• C
• D
• E

Q15:

Which region on the graph contains solutions to the set of inequalities • A
• B
• C
• D
• E

Q16:

Find the system of inequalities that forms the triangle shown in the graph. • A
• B
• C
• D
• E

Q17:

Fill in the blank: The quadrant representing the solution set of the inequalities and is the quadrant.

• A
• B
• C
• D

Q18:

Fill in the blank: The quadrant representing the solution set of the inequalities and is the quadrant.

• A
• B
• C
• D

Q19:

State the system of inequalities whose solution is represented by the following graph. • A, , , ,
• B, , , ,
• C, , , ,
• D, , , ,
• E, , , ,

Q20:

State the system of inequalities whose solution is represented by the following graph. • A, , , ,
• B, , , ,
• C, , , ,
• D, , , ,
• E, , , ,

Q21:

State the system of inequalities whose solution is represented by the following graph. • A, , , ,
• B, , , ,
• C, , , ,
• D, , , ,
• E, , , ,

Q22:

State the system of inequalities whose solution is represented by the following graph. • A, , , ,
• B, , , ,
• C, , , ,
• D, , , ,
• E, , , ,

Q23:

State the system of inequalities whose solution is represented by the following graph. • A,
• B,
• C,
• D,

Q24:

Which region on the graph contains solutions to the set of inequalities • A
• B
• C
• D
• E

Q25:

Which region on the graph contains solutions to the set of inequalities • A
• B
• C
• D
• E