B. Identify whether each of the following sets is well-defined or NOT. Put a checkmark (✔) if it is well-defined and a cross mark (x) if it is not. Write your answer in the space provided before each number. 1. The set of local government officials 2. The set of odd numbers between 1 and 10 3. The set of Philippine presidents 4. The set of months containing 31 days 5. The set of cities in Metro Manila 6. The set of prime numbers below 100 7. The set of letters in the word "MATATAG" 8. The set of planets with a moon 9. The set of entertaining magicians 10. The set of shops with aromatic coffee​

1. The set of local government officials✔ Well-definedReason: The set of local government officials is specific and can be clearly identified.2. The set of odd numbers between 1 and 10✔ Well-definedReason: The odd numbers between 1 and 10 are 1, 3, 5, 7, and 9. These can be clearly listed.3. The set of Philippine presidents✔ Well-definedReason: The set is specific, and the list of Philippine presidents is fixed and identifiable.4. The set of months containing 31 days✔ Well-definedReason: The months with 31 days (January, March, May, July, August, October, December) are clear and limited.5. The set of cities in Metro Manila✔ Well-definedReason: The cities in Metro Manila are fixed and can be identified easily.6. The set of prime numbers below 100✔ Well-definedReason: Prime numbers below 100 can be listed, and they are well-defined (2, 3, 5, 7, etc.).7. The set of letters in the word "MATATAG"✔ Well-definedReason: The letters in "MATATAG" are A, M, T, G, and can be clearly identified.8. The set of planets with a moon✔ Well-definedReason: The planets with moons (like Earth, Mars, Jupiter) can be clearly identified.9. The set of entertaining magicians✘ Not well-definedReason: "Entertaining magicians" is subjective; what is entertaining to one person may not be to another.10. The set of shops with aromatic coffee✘ Not well-definedReason: "Aromatic coffee" is a subjective description, and it’s difficult to define which shops exactly fit this criteria.

Answered by binibiningmayumi | 2024-11-25