Finding the Union of Number Sets
Let's consider two number sets: \(A = \{1, 2, 3, 4\}\) and \(B = \{3, 4, 5, 6\}\). What is the union of these two sets?
Determining if a Set is a Subset of Another Set
Determine if the set A = {1, 2, 4} is a subset of the set B = {1, 2, 3, 4, 5}.
Determining if Two Sets are Mutually Exclusive
Let's consider two sets A and B given as follows: 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
Given the universal set \(U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}\), and two subsets \(A = \{1, 2, 3, 4, 5\}\) and \(B = \{5, 6, 7, 8\}\), find the complement of the union of sets A and B.
Finding the Power Set
Find the power set of the set \(A = \{a, b\}\)
Finding the Cardinality
Let's say that we have a set \( A = \{1, 2, 3, 4, 5\} \) and a set \( B = \{2, 4, 6, 8, 10\} \). What is the cardinality of the intersection of these two sets?
Finding the Cartesian Product of Two Sets
Find the Cartesian product of the sets A = {1, 2} and B = {3, 4, 5}.
Determining if a Set is a Proper Subset of Another Set
Given two sets, Set A = {1, 2, 3, 4, 5} and Set B = {1, 2, 3, 4, 5, 6}, determine if Set A is a proper subset of Set B.