# Worksheet: Solving Systems of Inequalities

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

**Q4: **

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

- A
- B
- C
- D

**Q7: **

Which regions on the graph contain solutions that satisfy both of the inequalities

- A and
- B and
- C and
- D and
- E and

**Q10: **

Use the graph to identify which of the following points is a solution to the system of inequalities

- A
- B
- C
- D
- E

**Q11: **

Use the graph to identify which of the following points is a solution to the set of inequalities.

- A
- B
- C
- D
- E

**Q12: **

Which of the regions on the graph contain solutions to the inequality ?

- A , , , and
- B , , , and
- C , , , and
- D , , , and
- E , , , and

**Q13: **

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

**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: **

Which region on the graph contains solutions to the set of inequalities

- A
- B
- C
- D
- E

**Q17: **

Find the system of inequalities that forms the triangle shown in the graph.

- A
- B
- C
- D
- E

**Q18: **

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

- A
- B
- C
- D

**Q19: **

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

- A
- B
- C
- D

**Q23: **

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

- A , , , ,
- B , , , ,
- C , , , ,
- D