It seems like you are defining a set \( E = \{1, 2, 3, 4, 5\} \). This is a simple set containing five elements. Here are some key properties of the set:

1. **Cardinality**: The set has 5 elements, so the cardinality \( |E| = 5 \).
2. **Type of Elements**: The elements are natural numbers.
3. **Subset Possibilities**: The total number of subsets, including the empty set and the set itself, can be found using \( 2^n \), where \( n \) is the number of elements. For this set, there are \( 2^5 = 32 \) subsets.
4. **Ordered or Unordered**: As written, it appears to be an unordered set, so the order of the elements doesn't matter.
5. **Example Subsets**: Some example subsets could be \( \{1, 2\} \), \( \{3\} \), or \( \{1, 3, 5\} \).

Would you like to explore any specific properties or perform operations on this set?

Here are some questions you might want to think about:

1. What is the power set of \( E \)?
2. Can you create a subset of \( E \) with exactly three elements?
3. How many subsets of \( E \) contain exactly two elements?
4. What is the Cartesian product of \( E \) with itself?
5. Can \( E \) be a part of a relation or function?

**Tip**: The number of subsets of a set is always \( 2^n \), where \( n \) is the number of elements in the set.

Explore set theory through the example E = {1, 2, 3, 4, 5}. Learn key concepts like cardinality, subsets, and the total number of subsets using the formula 2^n. This problem is suitable for students in Grades 6-8.

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