Define and provide examples for the following types of sets: finite, infinite, null, unit, equivalent, equal, element of a set, and cardinality of a set.

Here are the meanings of the following terms with examples: a) Finite Set*: A set that has a countable number of elements. Example: The set of days in a week, A = \ Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday \. b) Infinite Set*: A set that has an uncountable number of elements. Example: The set of natural numbers, N = \ 1, 2, 3, \. c) Null Set* (or Empty Set): A set that contains no elements. It is denoted by or \ \. Example: The set of all even prime numbers greater than 2, B = \ \. d) Unit Set* (or Singleton Set): A set that contains exactly one element. Example: The set of even prime numbers, C = \ 2 \. e) Equivalent Sets*: Two sets are equivalent if they have the same number of elements (i.e., the same cardinality). Example: If A = \ 1, 2, 3 \ and B = \ a, b, c \, then A and B are equivalent because both have 3 elements. f) Equal Sets*: Two sets are equal if they contain exactly the same elements. The order of elements does not matter. Example: If A = \ 1, 2, 3 \ and B = \ 3, 1, 2 \, then A = B. g) Element of a Set*: An individual member or object belonging to a set. Example: In the set A = \ 1, 2, 3 \, the number 1 is an element of set A, written as 1 A. h) Cardinality of a Set*: The number of distinct elements in a set. It is denoted by n(A) for a set A. Example: If A = \ a, b, c, d \, then the cardinality of A is n(A) = 4. i) Complement of a Set*: Given a universal set U and a set A, the complement of A (denoted A' or A^c) is the set of all elements in U that are not in A. Example: If U = \ 1, 2, 3, 4, 5 \ and A = \ 1, 3 \, then A' = \ 2, 4, 5 \. j) Intersection of a Set*: The intersection of two sets A and B (denoted A B) is the set containing all elements that are common to both A and B. Example: If A = \ 1, 2, 3, 4 \ and B = \ 3, 4, 5, 6 \, then A B = \ 3, 4 \. 3 done, 2 left today. You're making progress.