Mastering Compound Inequalities: Solve & Graph Challenges

1. A store sells notebooks for between $2 and $5 each. If you want to buy at least 3 notebooks, how much money do you need? Solve the compound inequality and graph the solution.

• You need between $6 and $15.

• $8 to $20

• $4 to $10

• $5 to $12

2. A runner wants to maintain a pace between 8 and 10 minutes per mile during a race. Write a compound inequality to represent this situation and graph the solution.

• 8 <= p <= 10

• p >= 10

• p <= 8

• 7 < p < 9

3. The temperature in a city is expected to be between 60°F and 75°F this week. If you want to plan outdoor activities, what temperature range should you consider? Solve and graph the compound inequality.

• 65 ≤ T ≤ 80

• 55 ≤ T ≤ 75

• 60 ≤ T ≤ 75

• 50 ≤ T ≤ 70

4. A student needs to score between 70% and 85% on their final exam to pass the class. If the exam is out of 100 points, what range of scores does the student need? Solve the compound inequality and graph it.

• The student needs to score between 70 and 85 points.

• The student needs to score between 50 and 70 points.

• The student needs to score between 80 and 90 points.

• The student needs to score between 60 and 75 points.

5. A car rental company charges between $30 and $50 per day for a vehicle. If you plan to rent a car for 5 days, what is the total cost range? Write and solve the compound inequality, then graph the solution.

• $100 to $200

• The total cost range is between $150 and $250.

• $200 to $300

• $50 to $100

6. A gardener wants to plant flowers in a garden that is between 100 and 150 square feet. If each flower requires 10 square feet, how many flowers can the gardener plant? Solve the compound inequality and graph the results.

• 14

• 12

• 16

• 18

7. A student is reading a book that has between 200 and 300 pages. If they read 25 pages a day, how many days will it take to finish the book? Write and solve the compound inequality, then graph the solution.

• 8 days

• 9, 10, or 11 days

• 12 days

• 15 days

8. A swimmer wants to swim between 500 and 800 meters each day. If they swim at a pace of 100 meters per minute, how long will they be swimming? Solve the compound inequality and graph the results.

• 5 to 8 minutes

• 9 to 12 minutes

• 10 to 15 minutes

• 4 to 6 minutes

9. A concert venue has a seating capacity between 200 and 300 people. If tickets are sold for between $15 and $25 each, what is the range of total ticket sales? Write and solve the compound inequality, then graph the solution.

• $3000 to $7500

• $4000 to $6000

• $1000 to $3000

• $2000 to $5000

10. A teacher wants her students to read between 5 and 10 books this semester. If each book has an average of 200 pages, what is the total page range the students will read? Solve the compound inequality and graph the results.

• 500 to 1500 pages

• 200 to 400 pages

• 1500 to 2500 pages

• 1000 to 2000 pages