Question

ryan made a list of the 200 people he invited to his wedding. he divided the list into three categories: family, friends, and coworkers. each person was assigned to exactly one category. after the wedding, ryan determined that 175 people attended out of the 200 he invited. the names of those who attended and those who did not attend were recorded in another list. based on this information, determine if each set is well - defined. set: the set of the people who attended who gave good gifts; the set of the people who attended who danced well at the wedding; the set of the people who attended who were poorly dressed; the set of coworkers invited by ryan; the set of likable people who attended. is the set well - defined? yes or no

Explanation:

A well-defined set has clear, objective criteria for membership with no subjective judgment.

1. "Good gifts" is subjective—no universal standard exists to determine this, so the set is not well-defined.
2. "Danced well" is subjective—opinions on dance skill vary, so the set is not well-defined.
3. "Poorly dressed" is subjective—views on appropriate attire differ, so the set is not well-defined.
4. "Coworkers invited by Ryan" uses an objective, clear category from Ryan's pre-made list, so the set is well-defined.
5. "Likable" is subjective—opinions on who is likable vary, so the set is not well-defined.

Answer:

1. The set of the people who attended who gave good gifts: No
2. The set of the people who attended who danced well at the wedding: No
3. The set of the people who attended who were poorly dressed: No
4. The set of coworkers invited by Ryan: Yes
5. The set of likable people who attended: No