Question

A. Determine whether the following sets are well-defined or not. If it is well-defined write math otherwise write science.
1. The collection of tall students with at least 5'5" in height.
2. The collection of students in Grade 7 for school year 2021-2022 at Dingras NHS, Poblacion Campus.
3. The collection of large numbers.
4. The collection of intelligent students.
5. The collection of intelligent students with at least 90% average.​

Answer 1

Answer:

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Answer 2

Given: 1. The collection of tall students with at least 5'5" in height.

           2. The collection of students in Grade 7 for school year 2021-2022      at Dingras NHS, Poblacion Campus.

           3. The collection of large numbers.

           4. The collection of intelligent students.

           5. The collection of intelligent students with at least 90% average.​

To find: To Determine whether the given sets are well-defined or not.

Solution:

1. The collection of tall students with at least 5'5" in height is a well-defined collection of objects because one can definitely identify a student of height equal to 5'5'' or more than 5'5'', Therefore belongs to this collection. Hence, this collection is a set.
2. The collection of students in Grade 7 for the school year 2021-2022 at Dingras NHS, Poblacion Campus - is a well-defined collection because one can definitely identify students in class 7 year 2021-22 at  Dingras NHS, Poblacion Campus. Hence, this collection is a set.
3. The collection of large numbers -is not a well-defined collection because the criteria for determining the large number is not given. So, we cannot identify this collection of a large numbers. Hence, this collection is not a set.
4. The collection of intelligent students - is not a well-defined collection because the criteria for determining the students as intelligent is not given. So, we cannot identify this collection of intelligent students. Hence, this collection is not a set.
5. The collection of intelligent students with at least 90% average, s a well-defined collection because you can definitely identify a student who belongs to this collection. Hence, this collection is a set.