Chapter 2 Set Theory

A ______ is a collection of objects

A set is well-defined if for any object, we can objectively decide whether ________ in the set

Each object in a set is called an ________ or _____ of the set

Rooster method

Is order important in the rooster method?

Set builder notation uses a ______, braces, and a ______ that is read as "______".

A set with no elements is called an ______ or ______

The cardinal number of a set is the ________

For set A, the symbol of cardinality is _______ which is read as "______"

A set is called _______ if it has no elements or has a cardinality that is a natural number

A set that is not finite is called an ________

Two sets A and B are _____(______) if they have exactly the same members or elements

Two finite sets A and B are said to be ________ if they have the same number of elements: that is, n(A)=n(B)

Two sets have a one to one correspondence of elements if each element in the first set can be paired with _________________ and each element of the second set can be paired with __________________

The ______________ for a given situation symbolized by U is the set of all objects that are reasonable to consider in that situation.

____________ are a clever mehtod for visualizing sets and their relationships

The ________ of a set A, sybmolized A', is the set of elements in the universal set that are not in A

What is the complement of the universal set for any given situation?

If every element of set A is also an element of a set B, then A is called a ______ of B.

If a set A is a subset of a set B and is not equal to B, then we call A a _________________ of B.

If a finite set has n elments, then the set has _______ subsets and ______ proper subsets

The _______ of two sets A and B is the set of all elements that are in both sets

The ________ of two sets A and B is the set of all elements that are in __________