To check whether two sets are equal, we need to verify if they contain exactly the same elements, regardless of the order.

Given:

• Set $A = \{1, 2, 3, 4\}$
• Set $B = \{2, 4, 1, 3\}$

Let's compare the elements:

• Both sets contain the elements $1, 2, 3, 4$.

Since the sets contain the same elements and the order does not matter in sets, we conclude that:

$A = B$

Thus, the sets $A$ and $B$ are equal sets.

Would you like further details or have any questions?

Here are some related questions to explore:

1. What is the definition of a set?
2. What does it mean for two sets to be equivalent?
3. How does the order of elements affect sets?
4. Can sets contain repeated elements?
5. What are subsets and how do they relate to set equality?

Tip: In sets, the order of elements does not matter, only the presence of unique elements does.