15.1. Definition of Sets

Try these first

1. 1.

   Define what a null set is.

   Hint

   Think about a basket that contains nothing.

2. 2.

   How would you represent a singleton set?

   Hint

   Consider a basket holding just one fruit.

3. 3.

   What is the definition of a set?

   • An ordered collection of objects
   • A collection of distinct objects without order
   • A group of similar items

   Hint

   Remember the characteristics of sets.

4. 4.

   True or False: The set {1, 2, 3} is equal to the set {3, 2, 1}.

   • True
   • False

   Hint

   Check if all elements match.

5. 5.

   Given set A = {2, 4, 6} and set B = {1, 2, 3, 4, 5}, determine A ∪ B and A ∩ B.

   Hint

   Think about which elements are in either or both sets.

6. 6.

   If set C = {c | c is a character in the English alphabet}, what is the cardinality of the power set P(C)?

   Hint

   Remember to use the formula for the power set's cardinality.