The set K consists of all the integers p that satisfy |p - 17| < 4. What is the range of the integers in set K?

This choice incorrectly suggests that there are only 6 integers satisfying the inequality. However, the integers from 13 to 21 include 8 values, not 6. Therefore, this option does not accurately reflect the range determined by the absolute value inequality.

This option does not represent the number of integers in the set K. While 13 is the lower bound of the integers satisfying the inequality, it does not account for the total count, which should include all integers up to 20. Thus, it fails to reflect the correct range.

This choice is misleading as it suggests a specific integer rather than the count of integers in the set K. While 16 is indeed one of the integers in the range, it does not represent the total number of integers satisfying the inequality, which is what the question is asking for.

This choice suggests a specific integer that is not related to the count of integers in the set K. While 19 is included in the valid integers, it does not represent the range or total number of integers, which is the focus of the question.