Definitions
A collection of objects
Set
Well Defined or Not Well Defined:
The set of best artists
Not well defined
D= {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
Set D is the set of days in a week
Set F is the set of states in the United States whose name begins with the letter F
F={Florida}
A={lion, tiger, monkey}
B={tiger, monkey, lion}
Equal
The three ways a set can be written
Description, Roster Form, and Set-Builder Notation
Well Defined or Not Well Defined:
The set of Academy Awards winners in 2019
Well defined
Set V is the set of vowels in the English alphabet
Set J is the set of months whose names begin with the letter J
J={January, June, July}
A= {purple, green, yellow}
B= {q, r, s}
Equivalent
The number of elements in a set
Cardinal Number
Finite or Infinite:
{1, 2, 3, 4,...}
Infinite
A={1, 2, 3, 4, 5, 6, 7}
Set A is the set of natural numbers less than or equal to 7
Set N is the set of natural numbers between 10 and 16
N={11, 12, 13, 14, 15}
A= {grapes, apples, oranges}
B= {grapes, peaches, apples, oranges}
Neither
Two sets that contain the same number of elements
Equivalent
Finite or Infinite:
The set of multiples of 3 between 0 and 40
Finite
D={3, 6, 9, 12, 15, 18,...}
Set D is the set of natural numbers that are multiples of 3
Set A is the set of natural numbers greater than or equal to 4
A={4, 5, 6, 7, 8,...}
A is a set of letters in the word bank
B is a set of letters in the word post
Equivalent
Three dots placed in a set to show that the set continues in the same manner
Ellipsis
Finite or Infinite:
The set of fractions between 1 and 2
Infinite
E={4<x<11}
Set B is the set of natural numbers greater than 25 and less than or equal to 100
{26, 27, 28, 29,...100}
A is the set of US states
B is the set of US capitals
Equivalent