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!