Let's analyze the questions:

1. Set (a): {d, j, l, m}

   • This set contains four specific elements: d, j, l, and m.
   • Finite: Yes.
   • Cardinality: 4 (the number of elements in the set).

2. Set (b): {54, 55, 56, 57, …}

   • This set seems to represent all integers starting at 54 and increasing without limit.
   • Finite or Infinite: Infinite (because it continues indefinitely).

3. Set (c): The set of integers greater than 12

   • This includes all integers like 13, 14, 15, and so on, without end.
   • Finite or Infinite: Infinite.

Would you like me to delve into any details about finite or infinite sets?

Expanding Questions:

1. What is the difference between finite and infinite sets?
2. How is cardinality determined for finite sets?
3. Can infinite sets have cardinality?
4. What are examples of sets with the same cardinality as integers?
5. How are infinite sets categorized (e.g., countable vs. uncountable)?

Tip:

When determining the cardinality of a set, always count the distinct elements for finite sets. For infinite sets, consider whether they are countable or uncountable.