Final answer:
The positive integers less than 30 that are relatively prime to 30 are: 1, 7, 11, 13, 17, 19, 23, 29.
Step-by-step explanation:
Two numbers are considered relatively prime if they have no common factors other than 1. In this case, we need to find the positive integers less than 30 that have no common factors with 30.
To determine which numbers are relatively prime to 30, we can check if they have any common factors with 30. The prime factorization of 30 is 2 * 3 * 5. Therefore, any number that is not divisible by 2, 3, or 5 will be relatively prime to 30.
The positive integers less than 30 that are relatively prime to 30 are: