130 N SECTION 2-1 SETS student.doc PAGE: 1 OF 3
MA 130 SECTION 2.1 SETS HOMEWORK: 3, 5, 7, 11, 13, 15, 17, 19, 21, 23
OBJECTIVES:
Determine whether or not a given object is an element of a described set.
Use set terminology to answer questions about sets.
Form subsets of a given set.
Write a verbal description of a given set.
SET TERMINOLOGY:
ASet is a collection of objects called members or elements.
A set with no members is called an empty or null set.
Two sets are equal if and only if they contain exactly the same elements.
Aone-to-one correspondence is a pairing of all the elements in one set with one
and only one element of another set.
Two sets are equivalent if and only if there is a one-to-one correspondence between
the two sets.
A set is finite if it is empty of if it can placed into a one-to-one correspondence with a
set of the form {1, 2, 3, . . . , N}, where N is a whole number.
The universal set is the set of all elements being considered in a certain situation.
The complement of a set A is the set of all elements in the universal set that are not
in A.
Set A is a subset of set B, if and only if every element of set A is also an element of set
B.
Set a is a proper subset of set B, if and only if every element of set A is an element of
set B, and B contains at least one element that is not in set A.
WORKING WITH SETS
A. Determine whether or not the given element is in the given set. Fill in each blank with
or
.
1. 5 ________ the set of whole numbers.
2. 5 ________ the set of even integers.
3. 5 ________ {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
4. 5 _________ the set of all fruits and vegetables.
5. apples _______ the set of all fruits and vegetables.
