Mastering Compound Inequalities: Solve and Graph Challenges

1. A store sells pencils for between $0.50 and $1.50 each. If you want to buy at least 10 pencils, how much will you spend in total? Solve the compound inequality and graph the solution.

• $2.00 to $8.00

• $10.00 to $20.00

• $1.00 to $5.00

• $5.00 to $15.00

2. A runner wants to maintain a speed between 5 miles per hour and 8 miles per hour during training. If the runner trains for 2 hours, what is the range of distances they can cover? Solve the compound inequality and graph the solution.

• 8 miles to 12 miles

• 12 miles to 20 miles

• 10 miles to 16 miles

• 5 miles to 10 miles

3. A movie theater has ticket prices that range from $8 to $12. If a group of friends buys tickets for 4 movies, what is the total amount they could spend? Solve the compound inequality and graph the solution.

• $24 to $36

• $40 to $60

• $20 to $30

• $32 to $48

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 will allow the student to pass? Solve the compound inequality and graph the solution.

• (85, 90)

• (60, 70)

• The range of scores is (70, 85).

• (70, 100)

5. A car rental company charges between $25 and $40 per day. If you rent a car for 3 days, what is the total cost range? Solve the compound inequality and graph the solution.

• $50 to $90

• $60 to $80

• $75 to $120

• $100 to $150

6. A gardener wants to plant flowers in a garden that can hold between 20 and 50 plants. If each flower costs $2, what is the range of money the gardener needs? Solve the compound inequality and graph the solution.

• $50 to $120

• $20 to $60

• $40 to $100

• $30 to $80

7. A student is reading a book that has between 150 and 300 pages. If they read 20 pages a day, how many days will it take to finish the book? Solve the compound inequality and graph the solution.

• 5 to 10 days

• 15 to 20 days

• 1 to 7 days

• The number of days it will take to finish the book is between 8 and 14 days.

8. A factory produces between 100 and 200 toys each hour. If the factory operates for 5 hours, what is the range of toys produced? Solve the compound inequality and graph the solution.

• 400 to 800 toys

• 300 to 600 toys

• 200 to 400 toys

• 500 to 1000 toys

9. A cyclist wants to ride between 15 and 25 miles each day. If they ride for 6 days, what is the total distance range they could cover? Solve the compound inequality and graph the solution.

• 100 to 200 miles

• 30 to 90 miles

• 60 to 120 miles

• 90 to 150 miles

10. A student needs to complete between 5 and 10 assignments each week to stay on track. If each assignment takes about 2 hours, what is the range of hours they will spend on assignments? Solve the compound inequality and graph the solution.

• 15 hours to 25 hours

• 10 hours to 20 hours

• 5 hours to 15 hours

• 0 hours to 10 hours