# Worksheet: Quadratic Inequalities

In this worksheet, we will practice solving quadratic inequalities in one variable algebraically.

**Q2: **

Write the interval describing all solutions to the inequality .

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- B
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- E

**Q4: **

Write the interval describing all solutions to the inequality .

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- B
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- E

**Q5: **

Find the interval describing all solutions to the inequality .

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- B
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- D

**Q7: **

Find the interval describing all solutions to the inequality .

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- B
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- D

**Q9: **

Given , find the solution set of the inequality by determining the sign of .

- A is negative when , which is the solution set of the inequality.
- B is negative when , which is the solution set of the inequality.
- C is negative when , which is the solution set of the inequality.
- D is negative when , which is the solution set of the inequality.

**Q10: **

A cell phone company has the following cost and revenue functions: and , where is the number of cell phones. State the range for the number of cell phones they can produce while making a profit. Round your answers to the nearest integer that guarantees a profit.

- A28–71 cell phones
- B28–70 cell phones
- Cmore than 160 cell phones
- D27–70 cell phones

**Q11: **

Solve the inequality .

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**Q12: **

Find all solutions to the inequality . Write your answer as an interval.

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- D

**Q13: **

Write the interval describing all solutions to the inequality .

- A
- B
- C
- D
- E