Math / Discrete

QuestionA. Match the descriptions in column $\mathbf{A}$ with word $/ 8$ being described in column $\mathbf{B}$ . Write the letter of your answer in the space provided. B. Identify whether each of the following sets is well-derined or NOT. Put a checkmark if it is well-defined and a cross mark $(x)$ if it is not. Write your answer in the sp provided before each number. $\qquad$ 1. The set of local government officials $\qquad$ 2. The set of odd numbers between 1 and 10 $\qquad$ 3. The set of Philippine presidents $\qquad$ 4. The set of monthe containing 31 days $\qquad$ 5. The set of cities in Metro Manila $\qquad$ 6. The set of prime numbers below 100 $\qquad$ 7. The set of letters in the word "MATATAG" $\qquad$ 8. The set of planets with a moon $\qquad$ 9. The set of entertaining magicians $\qquad$ 10. The set of shops with aromatic coffee

Studdy Solution

STEP 1

1. A well-defined set is one where it is clear whether an object belongs to the set or not.
2. The task involves determining if each set is well-defined or not.

STEP 2

1. Analyze each set to determine if it is well-defined.
2. Mark each set with a checkmark if well-defined, or a cross mark if not.

STEP 3

Evaluate the set: "The set of local government officials." - This set is not well-defined because the term "local government officials" can vary depending on the location and context.

STEP 4

Evaluate the set: "The set of odd numbers between 1 and 10." - This set is well-defined because the odd numbers between 1 and 10 are clearly 3, 5, and 7.

STEP 5

Evaluate the set: "The set of Philippine presidents." - This set is well-defined because the list of Philippine presidents is specific and finite.

STEP 6

Evaluate the set: "The set of months containing 31 days." - This set is well-defined because the months with 31 days are January, March, May, July, August, October, and December.

STEP 7

Evaluate the set: "The set of cities in Metro Manila." - This set is well-defined because the cities in Metro Manila are specifically listed and recognized.

STEP 8

Evaluate the set: "The set of prime numbers below 100." - This set is well-defined because prime numbers below 100 are specifically known, such as 2, 3, 5, 7, etc.

STEP 9

Evaluate the set: "The set of letters in the word 'MATATAG'." - This set is well-defined because the letters in "MATATAG" are M, A, T, G.

STEP 10

Evaluate the set: "The set of planets with a moon." - This set is well-defined because planets with moons are specifically known, such as Earth, Mars, Jupiter, etc.

STEP 11

Evaluate the set: "The set of entertaining magicians." - This set is not well-defined because "entertaining" is subjective and can vary from person to person.

STEP 12

Evaluate the set: "The set of shops with aromatic coffee." - This set is not well-defined because "aromatic" is subjective and can vary from person to person.
The results are as follows:
1. $\times$ (Not well-defined)
2. $\checkmark$ (Well-defined)
3. $\checkmark$ (Well-defined)
4. $\checkmark$ (Well-defined)
5. $\checkmark$ (Well-defined)
6. $\checkmark$ (Well-defined)
7. $\checkmark$ (Well-defined)
8. $\checkmark$ (Well-defined)
9. $\times$ (Not well-defined)
10. $\times$ (Not well-defined)

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Studdy Solution

STEP 1

1. A well-defined set is one where it is clear whether an object belongs to the set or not.
2. The task involves determining if each set is well-defined or not.

STEP 2

1. Analyze each set to determine if it is well-defined.
2. Mark each set with a checkmark if well-defined, or a cross mark if not.

STEP 3

Evaluate the set: "The set of local government officials." - This set is not well-defined because the term "local government officials" can vary depending on the location and context.

STEP 4

Evaluate the set: "The set of odd numbers between 1 and 10." - This set is well-defined because the odd numbers between 1 and 10 are clearly 3, 5, and 7.

STEP 5

Evaluate the set: "The set of Philippine presidents." - This set is well-defined because the list of Philippine presidents is specific and finite.

STEP 6

Evaluate the set: "The set of months containing 31 days." - This set is well-defined because the months with 31 days are January, March, May, July, August, October, and December.

STEP 7

Evaluate the set: "The set of cities in Metro Manila." - This set is well-defined because the cities in Metro Manila are specifically listed and recognized.

STEP 8

Evaluate the set: "The set of prime numbers below 100." - This set is well-defined because prime numbers below 100 are specifically known, such as 2, 3, 5, 7, etc.

STEP 9

Evaluate the set: "The set of letters in the word 'MATATAG'." - This set is well-defined because the letters in "MATATAG" are M, A, T, G.

STEP 10

Evaluate the set: "The set of planets with a moon." - This set is well-defined because planets with moons are specifically known, such as Earth, Mars, Jupiter, etc.

STEP 11

Evaluate the set: "The set of entertaining magicians." - This set is not well-defined because "entertaining" is subjective and can vary from person to person.

STEP 12

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Studdy Solution

STEP 1

1. A well-defined set is one where it is clear whether an object belongs to the set or not.2. The task involves determining if each set is well-defined or not.

STEP 2

1. Analyze each set to determine if it is well-defined.2. Mark each set with a checkmark if well-defined, or a cross mark if not.

STEP 3

Evaluate the set: "The set of local government officials." - This set is not well-defined because the term "local government officials" can vary depending on the location and context.

STEP 4

Evaluate the set: "The set of odd numbers between 1 and 10." - This set is well-defined because the odd numbers between 1 and 10 are clearly 3, 5, and 7.

STEP 5

Evaluate the set: "The set of Philippine presidents." - This set is well-defined because the list of Philippine presidents is specific and finite.

STEP 6

Evaluate the set: "The set of months containing 31 days." - This set is well-defined because the months with 31 days are January, March, May, July, August, October, and December.

STEP 7

Evaluate the set: "The set of cities in Metro Manila." - This set is well-defined because the cities in Metro Manila are specifically listed and recognized.

STEP 8

Evaluate the set: "The set of prime numbers below 100." - This set is well-defined because prime numbers below 100 are specifically known, such as 2, 3, 5, 7, etc.

STEP 9

Evaluate the set: "The set of letters in the word 'MATATAG'." - This set is well-defined because the letters in "MATATAG" are M, A, T, G.

STEP 10

Evaluate the set: "The set of planets with a moon." - This set is well-defined because planets with moons are specifically known, such as Earth, Mars, Jupiter, etc.

STEP 11

Evaluate the set: "The set of entertaining magicians." - This set is not well-defined because "entertaining" is subjective and can vary from person to person.

STEP 12

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. A well-defined set is one where it is clear whether an object belongs to the set or not.
2. The task involves determining if each set is well-defined or not.

1. Analyze each set to determine if it is well-defined.
2. Mark each set with a checkmark if well-defined, or a cross mark if not.