what is sets?what is set builder form?
what is roster form? how to explain it?
Agenda
1
3
2
4
August 25,2024
3.
For example
a setof numbers
{1,2,3}
or
a set of colors
{red, blue, green}
A set is a collection of
distinct objects, considered
as an object in its own right.
image
example
meaning
Agenda no - 1
what is set?
what is set?
what is set?
4.
This form is
especiallyuseful for
defining sets with an
infinite number of
elements or when the
set follows a specific
pattern.
set builder form is a way of
describing a set by specifying
a property or rule that its
members must satisfy, rather
than listing out all the
elements of the set.
Example of Set-Builder Form S=
{x∣x is an even number greater
than 0}
Explanation: This notation
means that the set S contains all
elements x such that x is an
even number and x is greater
than 0.
example
image
meaning
Agenda no - 2
what is set builder form?
what is set builder form?
what is set builder form?
5.
Agenda no -3
what is roster form?
what is roster form?
for example:{a,e,i,o,u}
Explanation: The set V
includes the vowels
'a', 'e', 'i', 'o', and 'u'.
Roster form is also known as
list form is a way of describing
a set by explicitly listing all of
its elements inside curly
braces {}.
example
meaning
6.
CONCLUSION
sets are essentialtools in mathematics that help us organize and classify objects, numbers, or
elements are based on shared properties. Understanding sets and their different representation
is key to working with mathematical concepts effectively:
Sets: A set is a collection of distinct and well-defined objects or elements. These elements can
be anything from numbers to symbols, and they are grouped together because they share
some common characteristic.
Set-Builder Form: This method defines a set by specifying a rule or property that the elements
of the set must satisfy. It’s useful for describing sets with an infinite number of elements or
those that follow a particular pattern. For example, {x ∣x>0} represents all positive
numbers.
Roster Form: Also known as list form, this method involves listing all the elements of a set
explicitly within curly braces. It’s simple and straightforward, making it ideal for finite sets.
For instance, {1,2,3,4,5} lists all the natural numbers less than 6.