Types of Sets and Set Notation

Question 1

Set

Answer 1

A collection of distingusighable objects

Ex) The set of whole numbers is W={0,1,2,3,4…}

Question 2

element

Answer 2

Element: An object in a set.
Ex) 3 is an element of W
3EW

Question 3

universal set

Answer 3

A set of all the elements under consideration for a particular context
(also called the Sample Space).

Universal set of digits D={0,1,2,3,4,5,6,7,8,9}
Deck of cards
DC={0,1,2,3…52}

Question 4

subset

Answer 4

A set whose elements all belong to another set.
A set inside a set

The set of odd digits O= {1,3,5,7,9}is a subset of D.
In set notation this relationship is written
OcD

Question 5

complement

Answer 5

All the elements of a universal set that do not belong to a subset of it.

0’= {0,2,4,6,8} is the complement of 0 = {1,3,5,7,9}

What does not relate to odd set,

Question 6

empty set

Answer 6

Empty Set: A set with no elements.
Ex) The set of odd numbers divisible by 2 is the empty set.
{ }

Question 7

disjoint

Answer 7

Disjoint: Two or more sets having no elements in common.
Ex) The set of even numbers and the set of odd numbers are disjoint.