Chapter 2: Set Operations

Question 1

Let A and B be sets. The _____ of the sets A and B, denoted by A U B, is the set that contains those elements that are either in A or in B, or in both.

Answer 1

Union

Question 2

What is {1, 3, 5} U {1, 2, 3} = _______

Answer 2

{1, 2, 3, 5}

Question 3

Let A and B be sets. The ________ of the sets A and B, denoted by A (Upside Down U) B, is the set containing those elements in both A and B.

Answer 3

Intersection

Question 4

Two sets are called ______ if their intersection is the empty set.

Answer 4

Disjoint

Question 5

|_________| = |A| + |B| - |A (Upside Down U) B|

Answer 5

|A U B|

Question 6

|A| + |B| counts each element that is in A but not in B or in B but not in A exactly _____, and each element that is in both A and B exactly ______.

Answer 6

Once

Twice

Question 7

Let A and B be sets. The ________ of A and B, denoted by A - B, is the set containing those elements that are in A but not in B. The difference of A and B is also called the _________ of B _______ A.

Answer 7

Difference
Complement of
With respect to

Question 8

Let U be the universal set. The ____________ of the set A, denoted by (Overhead line -) A, is the _______ of A with respect to U. Therefore, the x ______ of the set A is U - A.

Answer 8

Complement

Question 9

The ____ of a collection of sets is the set that contains those elements that are members of at least one set in the collection.

Answer 9

Union

Question 10

The _______ of a collection of sets is the set that contains those elements that are members of all the sets in the collection.

Answer 10

Intersection