The two sets you provided are:

• Set 1: $\{s, t, u, v, w\}$
• Set 2: $\{t, v, w, s, u\}$

Definitions:

• Equal Sets: Two sets are equal if they contain exactly the same elements, regardless of the order.
• Equivalent Sets: Two sets are equivalent if they have the same number of elements, but the elements themselves do not need to be identical.

Analysis:

• The two sets have exactly the same elements: $\{s, t, u, v, w\}$ and $\{t, v, w, s, u\}$ are identical in terms of elements, even though their order is different.
• Since the elements are the same and the sets contain the same number of elements (5), the sets are Equal and Equivalent.

Final Answer:

Equal and Equivalent

Would you like further clarification or details? Here's a follow-up list of questions to dive deeper into set theory:

1. What is the difference between equal and equivalent sets in more complex cases?
2. Can a set be equivalent but not equal?
3. How do you check if two sets are equal or equivalent when they contain different numbers of elements?
4. How does the concept of subsets differ from equality or equivalence?
5. What is the significance of the order of elements in a set?

Tip: When working with sets, remember that the order of elements doesn't matter, only the presence or absence of elements does!