Set Theory Quiz

What is the empty set?

• A set with no elements

• A set with all elements

• A set with one element

• A set with infinite elements

What is the universal set?

• A set with no elements

• A set with all elements

• A set with one element

• A set with infinite elements

What is the union of sets A and B?

• The set of elements that belong to neither set A nor set B

• The set of elements that belong to both sets A and B

• The set of elements that belong to set A or set B (or both)

• The set of elements that belong to set A but not set B

What is the complement of set A?

• The set of all sets in the universe but not in set A

• The set of all elements in set A

• The set of all elements in the universe

• The set of all elements that do not belong to set A

What is DeMorgan's Law for union?

• (A U B)' = A' n B'

• (A n B)' = A' n B'

• (A U B)' = A' U B'

• (An B)' = A'U B

What is DeMorgan's Law for intersection?

• (A n B)' = A' n B'

• (A U B)' = A' n B'

• (A U B)' = A' U B'

• (A n B)' = A' U B'

Which set notation describes this Venn diagram?

• A ∪ (B ∩ C )

• (A ∩ B) ∪ (A ∩ C )

• A ∩ (B ∪ C )

• (A ∪ B) ∩ (A ∪ C )