Finding the Intersection of Sets
Find the intersection of the sets A = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5}.
Finding the Union of Number Sets
Find the union of the following number sets: Set A = {1, 2, 3, 4} and Set B = {3, 4, 5, 6}.
Determining if a Set is a Subset of Another Set
Given the sets A = {1,2,3,4,5} and B = {1,3,5}. Determine if set B is a subset of set A.
Determining if Two Sets are Mutually Exclusive
Given the two sets A = {1, 2, 3, 4, 5} and B = {6, 7, 8, 9, 10}. Are these two sets mutually exclusive?
Finding the Set Complement of Two Sets
Let \( A = \{1, 2, 3, 4, 5\} \) and \( B = \{4, 5, 6, 7, 8\} \). Find \( A' \cap B \) and \( B' \cap A \), where \( A' \) and \( B' \) are the complements of sets A and B respectively in the universal set \( U = \{1, 2, 3, 4, 5, 6, 7, 8\} \).
Finding the Power Set
Find the power set of the set \( A = \{1, 2, 3\} \)
Finding the Cardinality
Let \( A = \{1, 2, 3, 4\} \) and \( B = \{3, 4, 5, 6\} \). Find the cardinality of \( A \cup B \).
Finding the Cartesian Product of Two Sets
Let \( A = \{1, 2\} \) and \( B = \{3, 4\} \). Find the Cartesian product \( A \times B \).
Determining if a Set is a Proper Subset of Another Set
Determine if the set A = {1, 2, 3, 4, 5} is a proper subset of the set B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.