Question

Mark is in a summer program that has these age requirements: Students must be more than 13 years old to take part in the program. Students must be 18 or older to work at the program. Let x represent Mark's age in years. Answer the questions to find out how old Mark could be. 1. Mark is old enough to take part in the program. Write an inequality using x that shows this. Write your answer in the space below. 2. However, Mark is too young to work in the program. Write an inequality using x that shows this. Write your answer in the space below. 3. Mark is old enough to take part in the program but too young to work at the program. List all the ages Mark could be. Explain how you found your answer. Write your answer in the space below.

Answer 1

1. x > 13
2. x < 18
3. 13 < x < 18
Mark could be 14, 15, 16, or 17
Explanation:
1. It doesn’t say “at least” 13, so he can’t be 13 years old. If it did, that one would be “greater than or equal to”
2. It says he has to be 18 or older to work at the program. So he can’t be 18.
3. The only ages that are in between 13 and 18, without being 13 or 18 are 14, 15, 16, and 17.