# Lesson Worksheet: Solving Systems of Linear Inequalities Mathematics • 9th Grade

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

Q1:

Fill in the blank: The shaded area represents the solution set of the inequalities , , and . • A
• B
• C
• D

Q2:

Which of the following points is a solution to the system of inequalities , , , and ?

• A
• B
• C
• D
• E

Q3:

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

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:

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

Q7:

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

Q8:

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

Q9:

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

Q10:

Which region on the graph contains solutions to the set of inequalities • AA
• BF
• CD
• DE
• EC