Set Theory

If A and B are two sets, then what is A – B equal to?

For any set A, what is the result of A ∪ A?

Which of the following is true according to De Morgan's law?

What is the result of A ∩ U for any set A?

If A, B and C are three sets, then A × (B ∪ C) is equal to?

If A and B are two sets, what is the result of A Δ B?

What is the result of A ∩ (B ∪ C) for any three sets A, B, and C?

What is A ∩ (B – C) equal to?

If A, B and C are three sets, then (A – B) ∪ (B – A) is equal to?

What is the result of A - (B - C) for any three sets A, B, and C?

If A and B are two sets, then what is A – B equal to?

If A, B, and C are any three sets, then A – (B ∪ C) is equal to?

If A and B are two non-empty sets, then what is (A – B) ∪ (B – A) equal to?

Let A and B be two non-empty sets. What is A × B equal to?

If A and B are two non-empty sets, then what is A – (A ∩ B) equal to?

Which of the following sets is a null set?

If A is a set of integers, what is the set notation for A?

What is the set notation for the set of all even natural numbers?

Which of the following is a well-defined collection?

What is the set of all real numbers denoted by?

What is a common term used to describe the objects that constitute a set?

What is the purpose of a rule in defining a set?

What is the significance of the order in which elements are written in a set?

What is the symbol used to read as 'such that' in the set-builder method?

What is the notation used to describe a set using the roster method?

What is the total number of subsets of a set A with n elements?

If a set A has $m$ elements and a set B has $n$ elements, and the total number of subsets of A is 56 more than the total number of subsets of B, what are the values of $m$ and $n$?

What is the number of proper subsets of the set {1, 2, 3}?

If X = {8n - 7n - 1 : n ∈ N} and Y = {49(n - 1) : n ∈ N}, then what is the relationship between X and Y?

If A = {x : x ∈ R, x^2 = 16 and 2x = 6}, what is the value of A?