Identifying Solution Sets in Real-World Scenarios

1. A store sells t-shirts for between $15 and $25. If you have $20, can you buy a t-shirt? What is the solution set for the price of the t-shirts?

• Yes, you can buy a t-shirt. The solution set is [15, 25].

• No, you cannot buy a t-shirt. The solution set is [25, 35].

• Yes, you can buy a t-shirt. The solution set is [20, 30].

• No, you cannot buy a t-shirt. The solution set is [10, 30].

2. The temperature in a city is expected to be between 60°F and 80°F this week. If today's temperature is 70°F, is it within the expected range? Identify the solution set for the temperature.

• Yes, 70°F is within the expected range.

• Yes, but only if the temperature is above 75°F.

• No, 70°F is below the expected range.

• No, 70°F is too high for the expected range.

3. A runner wants to complete a race in between 4 and 6 hours. If she finishes in 5 hours, does she meet her goal? What is the solution set for her finishing time?

• No, she does not meet her goal. The solution set is [3, 5].

• No, she does not meet her goal. The solution set is [5, 7].

• Yes, she meets her goal. The solution set is [4, 6].

• Yes, she meets her goal. The solution set is (4, 6).

4. A student needs to score between 70% and 90% on a test to pass. If she scores 85%, does she pass? What is the solution set for passing scores?

• She needs to score at least 90%.

• Yes, she passes.

• The passing score is below 70%.

• No, she fails.

5. A car can travel between 30 and 50 miles per gallon. If your car gets 40 miles per gallon, is it efficient? Identify the solution set for fuel efficiency.

• Yes, the car is efficient.

• The car is only efficient at 50 miles per gallon.

• Fuel efficiency is irrelevant to the car's performance.

• No, the car is not efficient.

6. A concert venue has a capacity of between 200 and 500 people. If there are 300 tickets sold, is the venue at capacity? What is the solution set for ticket sales?

• No, the venue is not at capacity. The solution set for ticket sales is [200, 500].

• No, the venue is not at capacity. The solution set for ticket sales is [100, 400].

• Yes, the venue is at capacity. The solution set for ticket sales is [0, 300].

• Yes, the venue is at capacity. The solution set for ticket sales is [300, 500].

7. A recipe requires between 2 and 4 cups of flour. If you use 3 cups, is that acceptable? Identify the solution set for the amount of flour needed.

• Yes, using 3 cups of flour is acceptable.

• Yes, but only if you add more sugar.

• No, 3 cups is too much flour.

• No, you must use exactly 2 cups.

8. A student must read between 5 and 10 books this semester. If she reads 8 books, does she meet her requirement? What is the solution set for the number of books?

• Yes, she meets her requirement.

• The solution set is only 5 books.

• No, she does not meet her requirement.

• She must read at least 10 books.

9. A swimming pool's temperature should be between 75°F and 85°F. If the current temperature is 80°F, is it within the desired range? Identify the solution set for the pool temperature.

• No, the current temperature is too low.

• No, the current temperature is outside the range.

• Yes, the current temperature is too high.

• Yes, the current temperature is within the desired range.

10. A bike can travel between 10 and 20 miles on a single charge. If it travels 15 miles, is it performing well? What is the solution set for the bike's range?

• No, it is not performing well. The solution set is [5, 25].

• Yes, it is performing poorly. The solution set is [0, 30].

• No, it is performing well. The solution set is [15, 25].

• Yes, it is performing well. The solution set for the bike's range is [10, 20].