# Lesson Worksheet: Solving Linear–Quadratic Systems of Inequalities Mathematics

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

**Q1: **

Identify the region that satisfies the following inequalities:

- A
- B
- C
- D
- E

**Q2: **

Identify the region that satisfies the following inequalities:

- A
- B
- C
- D
- E

**Q3: **

Identify the region that satisfies the following inequalities:

- A
- B
- C
- D
- E

**Q4: **

Identify the region that satisfies the following inequalities:

- A
- B
- C
- D
- E

**Q5: **

Identify the shaded region that satisfies the three following inequalities:

- A
- B
- C
- D
- E

**Q6: **

Identify the shaded region that satisfies the following three inequalities:

- A
- B
- C
- D
- E

**Q7: **

Find the system of inequalities whose solutions are represented by the shaded area in the graph.

- A
- B
- C
- D
- E

**Q8: **

The following sketch shows three curves: , , and .

What are the inequalities that specify the shaded region?

- A,

, - B,

, - C,

, - D,

, - E,

,

**Q9: **

The parabola in the sketch has the equation .

Which of the following systems of inequalities defines the shaded region?

- A,

, - B,

, - C,

, - D,

, - E,

,

**Q10: **

The sketch shows a parabola and two straight lines.

The parabola crosses the at the points and . It intersects the straight lines at the points , , , and .

Find the system of inequalities corresponding to the shaded region.

- A,

, - B,

, - C,

, - D,

, - E,

,