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What is the cardinality of the set of odd positive integers less than 10?
- a)10
- b)5
- c)3
- d)20
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What is the cardinality of the set of odd positive integers less than ...
Cardinality of a set:
The cardinality of a set is a measure of the "size" or "number of elements" in the set. It is denoted by |A|, where A is the set. For finite sets, the cardinality is simply the count of the elements in the set.
Given:
We are given a set of odd positive integers less than 10.
Steps to find the cardinality:
1. Identify the set: The set in question consists of odd positive integers less than 10.
2. List the elements: The odd positive integers less than 10 are 1, 3, 5, 7, and 9.
3. Count the elements: There are 5 elements in the set.
4. Determine the cardinality: The cardinality of the set is 5.
Explanation:
- The set of odd positive integers less than 10 consists of the numbers 1, 3, 5, 7, and 9.
- Each of these numbers is odd and positive.
- To find the cardinality, we count the number of elements in the set, which is 5.
- Therefore, the cardinality of the set of odd positive integers less than 10 is 5.
Conclusion:
The correct answer is option 'B' - 5, as there are 5 odd positive integers less than 10 in the given set.
The cardinality of a set is a measure of the "size" or "number of elements" in the set. It is denoted by |A|, where A is the set. For finite sets, the cardinality is simply the count of the elements in the set.
Given:
We are given a set of odd positive integers less than 10.
Steps to find the cardinality:
1. Identify the set: The set in question consists of odd positive integers less than 10.
2. List the elements: The odd positive integers less than 10 are 1, 3, 5, 7, and 9.
3. Count the elements: There are 5 elements in the set.
4. Determine the cardinality: The cardinality of the set is 5.
Explanation:
- The set of odd positive integers less than 10 consists of the numbers 1, 3, 5, 7, and 9.
- Each of these numbers is odd and positive.
- To find the cardinality, we count the number of elements in the set, which is 5.
- Therefore, the cardinality of the set of odd positive integers less than 10 is 5.
Conclusion:
The correct answer is option 'B' - 5, as there are 5 odd positive integers less than 10 in the given set.
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Community Answer
What is the cardinality of the set of odd positive integers less than ...
Set S of odd positive an odd integer less than 10 is {1, 3, 5, 7, 9}. Then, Cardinality of set S = |S| which is 5.
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