Set Theory Quiz

What is a set?

• A random assortment of items

• A collection of well-defined objects

• A group of people

• A mathematical equation

What symbol indicates membership in a set?

• ⊆

• ∉

• ⊂

• ∈

What is a proper subset?

• A set that contains some but not all elements of another set

• A set that is equal to another set

• A set with no elements

• A set that contains all elements of another set

What is the null set?

• A set that contains all elements

• A set that is infinite

• A set with no elements

• A set with at least one element

What is the power set of a set A?

• The set of all elements in A

• The set of all subsets of A

• The set of elements not in A

• The set of elements in A and B

What does the union of two sets A and B represent?

• Elements in A but not in B

• Elements in A or B or both

• Elements in B but not in A

• Elements common to both A and B

What is the intersection of two sets A and B?

• Elements in A but not in B

• Elements in A and B

• Elements in A or B

• Elements in B but not in A

What does the symbol A - B represent?

• The union of A and B

• The intersection of A and B

• The complement of A

• The difference of A and B

What is the Cartesian product of sets A and B?

• A set of all elements in B

• A set of all pairs (a, b) where a is in A and b is in B

• A set of all subsets of A

• A set of all elements in A

What does the inclusion-exclusion principle help to calculate?

• The number of elements in the intersection of two sets

• The number of elements in a null set

• The number of elements in the union of two sets

• The number of elements in a proper subset