Set Theory Quiz

What is a set?

• A collection of objects

• A list of numbers

• A mathematical formula

• A number

Which symbol is used to denote an empty set?

• ∪

• ∅

• ∩

• ℕ

What is the union of two sets A and B?

• The elements that are in both A and B

• The elements that are in either A, B, or both

• The difference between A and B

• None of the above

What is the intersection of two sets A and B?

• The elements that are in both A and B

• The elements that are only in A

• The elements that are only in B

• The elements that are in either A or B, but not both

If A={1,2,3} and B={3,4,5}, what is A∪B?

• {3}

• {1,2,3,4,5}

• {1,2,4,5}

• {1,2,3}

If A={1,2,3} and B={3,4,5}, what is A∩B?

• {1,2,3,4,5}

• {3}

• {1,2}

• {4,5}

What is the complement of set A?

• The elements in A that are also in B

• The elements not in A

• The elements in both A and B

• The elements that are not in either A or B

If U is the universal set and A={1,2,3}, what is the complement of A in U?

• U∖A

• A∪U

• A∩U

• U∩A

What is the cardinality of a set?

• The elements not in the set

• The number of elements in the set

• The largest element in the set

• The smallest element in the set

If A={a,b,c}, what is the cardinality of A?

• 2

• 3

• 1

• 0