Answer :
Final answer:
Identifying whether collections are sets or not based on clear definitions and characteristics.
Explanation:
Set:
- (a) A collection of 6th-grade students who write good letters - This is a set because it clearly defines a group of students based on a specific characteristic, which is their ability to write good letters.
- (c) A collection of teachers who teach in 6th grade in your school - This is also a set as it represents a specific group of teachers who share the common attribute of teaching 6th grade in your school.
- (e) A collection of factors of 30 - This is a set as well because factors of 30 can be clearly listed and identified, making it a well-defined collection.
Not Set:
- (b) A collection of students who sing well - This is not a set because 'sing well' is subjective and may vary from person to person, making it difficult to clearly define and categorize this collection.
- (d) A collection of 6th-grade textbooks - This is not a set because it's a collection of objects rather than individuals sharing a common characteristic.
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