Set Theory Part 6 Quiz

Set Theory Part 6 Quiz continues your journey through the logic of sets and how they interact inside a universal set. An interesting bit of history is that the concept of the null set helped mathematicians formalize the idea of “nothing” in a precise way. Before this, empty collections were discussed informally, which often led to confusion. Once the null set was introduced, it became much easier to describe complements of sets and how elements relate across groups. This quiz builds on that clarity and encourages careful thinking about set operations. It is designed to feel approachable while strengthening your ability to work confidently with universal sets and their complements in everyday mathematical problems.

Set Theory Part 6

Which expression represents elements common to A and not in B?

A ∪ B′

A ∩ B′

B ∩ A′

A − A

If U = {1, 2, 3, 4, 5}, A = {1, 2}, B = {2, 3}, then (A ∪ B)′ equals?

{1, 2}

{3, 4, 5}

{ }

{4, 5}

If A ∪ B = A ∩ B, then A and B are?

equal

disjoint

complements

subsets of U

If A = {1, 3, 5, 7}, B = {3, 7}, then A − (A − B) equals?

{1, 5}

{ }

{3, 7}

{1, 3, 5, 7}

If A′ = B and B′ = A, then A ∪ B equals?

{ }

Which law does A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) show?

Commutative

Associative

Identity

Distributive

If A ∩ B = A, then?

B ⊂ A

A ⊂ B

A = { }

A and B are disjoint

If A ∪ B = B, then A is?

Equal to B

Disjoint from B

A subset of B

Complement of B

If A − B = B − A, then both are equal to?

{ }

Which expression equals A?

A ∩ { }

A − A

A ∪ { }

A′ ∩ A

Your score is

The average score is 0%

Sample Questions from This Quiz

Which expression represents elements common to A and not in B?
If U = {1, 2, 3, 4, 5}, A = {1, 2}, B = {2, 3}, then (A ∪ B)′ equals?
If A ∪ B = A ∩ B, then A and B are?
If A = {1, 3, 5, 7}, B = {3, 7}, then A − (A − B) equals?
If A′ = B and B′ = A, then A ∪ B equals?

Try the full quiz and see how many of these you can answer!

Beyond Set Theory Part 6 Quiz

Set Theory Part 7

Empty sets still make an impact when nobody is looking!

Set Theory Part 8

Null sets feel lonely but secretly enjoy all the attention!

Set Theory Part 5

Where empty sets feel less lonely and more powerful!

Sampling Basics Part 2

Learn sampling without feeling sampled by boredom!

Central Tendency

Mean, median, and mode walk into a data bar quietly!

Frequency

When numbers keep showing up, patterns start to feel obvious!

Percentile Part 1

Not top, not bottom, just perfectly placed in the list!

Percentile Part 2

Order reveals truths numbers prefer to hide!