Set Theory Quiz

Which of the following is a well-defined set?

• A set of all good books

• A set of all prime numbers

• A set of beautiful flowers

• A set of smart students

What does A ∪ B represent?

• The intersection of sets A and B

• The union of sets A and B

• The difference of sets A and B

• The symmetric difference of sets A and B

Tags

CCSS.HSS.CP.A.1

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

• {1, 2, 3, 4, 5}

• {1, 2}

• {3}

• {4, 5}

The set of all subsets of a set is called:

• Power set

• Universal set

• Infinite set

• Complementary set

Which of the following operations is not a basic set operation?

• Union

• Intersection

• Exponentiation

• Difference

Tags

CCSS.HSS.CP.A.1

Two sets A and B are said to be disjoint if:

• A ⊆ B

• A ∩ B = ∅

• A ∪ B = ∅

• A = B

The complement of a set A is:

• A' = {x | x ∈ A}

• A' = {x | x ∉ A}

• A' = A ∪ B

• A' = A ∩ B

Tags

CCSS.HSS.CP.A.1

If A = {1, 2, 3} and B = {4, 5, 6}, what is A ∪ B?

• {1, 2, 3, 4, 5, 6}

• {4, 5}

• {1, 2, 3}

• ∅

The number of elements in the power set of a set with n elements is:

• 2^n

• n^2

• n

• n/2

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

• {1, 2}

• {2, 3}

• {1}

• {4}