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. 2. However, Mark is too young to work in the program. Write an inequality using x that shows this. 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.

Answer 1

we are told that the minimum age to be part of the program is 13, we are also told the following:

1. Mark is old enough to take part in the program. This means that Mark's age must be equal or greater than 13. This can be written mathematically as:

`x\ge13`

We are also told that the minimum age to work on the program is 18. We are given that:

2. However, Mark is too young to work in the program. Therefore, Mark's age must be:

`x<18`

We are also given: 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.

This means that Mark's age is between 13 and 17. That can be written mathematically as:

`13\le x<18`

Mark's possible ages are: 13, 14, 15, 16, 17.