# Lesson Worksheet: Solving Systems of Linear Inequalities by Graphing Mathematics

In this worksheet, we will practice solving systems of linear inequalities by graphing them and determining the region of the solution.

**Q1: **

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

- AA
- BF
- CD
- DE
- EC

**Q2: **

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

- A
- B
- C
- D
- E

**Q3: **

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

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

**Q4: **

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

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

**Q5: **

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

- A
- B
- C
- D
- E

**Q6: **

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

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

**Q7: **

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

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

**Q8: **

Find the solution set of the linear inequalities shown below.

- A
- B
- C
- D