{3} and {Ø}


Equal
Equivalent
Equal and Equivalent
Neither

In mathematics, the set `{3}` represents a set containing the number 3, while the symbol `{Ø}` represents a set containing the empty set (Ø). These two sets are neither equal nor equivalent.

### Explanation:
- **Equal sets**: Two sets are equal if they contain exactly the same elements. Here, `{3}` contains the element 3, while `{Ø}` contains the empty set. These are clearly not the same elements, so they are **not equal**.
  
- **Equivalent sets**: Two sets are equivalent if they have the same number of elements (cardinality). The set `{3}` contains 1 element (3), and the set `{Ø}` also contains 1 element (the empty set). So, the sets are **equivalent** but not equal.

Thus, the correct answer is: **Equivalent**.

Would you like a more detailed explanation?

Here are 5 related questions:
1. What is the difference between an empty set and a set containing the empty set?
2. Can a set be both equivalent and equal?
3. How do you determine the cardinality of a set?
4. What are some examples of equivalent sets?
5. What is the power set of `{3, Ø}`?

**Tip**: Always carefully distinguish between the contents of a set and the set itself—it's a common source of confusion!

Are the sets {3} and {Ø} equal, equivalent, both, or neither?

Explore the difference between equal and equivalent sets using the example of {3} and {Ø}. Understand set theory concepts like equality, equivalence, and cardinality in this detailed explanation suitable for Grades 6-8.

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