The cardinality of the set of counting numbers between six and thirteen is six.

The statement is incorrect. Let's analyze why.

The set of counting numbers between 6 and 13 (not including 6 and 13) is:

\[
\{7, 8, 9, 10, 11, 12\}
\]

There are exactly 6 elements in this set, so the cardinality (which is the number of elements in a set) is indeed **6**.

However, if the statement intends to include both 6 and 13, then the set would be:

\[
\{6, 7, 8, 9, 10, 11, 12, 13\}
\]

In this case, the cardinality would be **8**, not 6.

### Do you want further details or have any questions?

Here are 5 related questions to explore this further:

1. What is the cardinality of a set?
2. What is the difference between finite and infinite sets in terms of cardinality?
3. How do you define a set with an inclusive range?
4. How would the cardinality change if we dealt with real numbers instead of counting numbers?
5. Can sets have elements that are not numbers?

#### Tip:
Always pay attention to whether a set includes or excludes its boundary values when calculating cardinality.

Learn about the cardinality of sets of counting numbers, specifically for numbers between 6 and 13. This problem explains key concepts in set theory, including counting numbers and cardinality. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation